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Finding the Fourth Proportional to 1,089.38, 1,501.04 and 739.46

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Solution

The fourth proportional to 1,089.38, 1,501.04 and 739.46 is: 1,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.38 : 1,501.04 = 739.46 : x
  2. Step 2: Convert to fraction form
    1,089.38/1,501.04 = 739.46/x
  3. Step 3: Cross multiply
    1,089.38x = 1,501.04 × 739.46
  4. Step 4: Simplify right side
    1,089.38x = 1,109,964.64
  5. Step 5: Solve for x
    x = 1,109,964.64/1,089.38
  6. Step 6: Final answer
    x = 1,018.89

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.