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Finding the Fourth Proportional to 1,234.39, 1,703.46 and 710.42

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Solution

The fourth proportional to 1,234.39, 1,703.46 and 710.42 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.39 : 1,703.46 = 710.42 : x
  2. Step 2: Convert to fraction form
    1,234.39/1,703.46 = 710.42/x
  3. Step 3: Cross multiply
    1,234.39x = 1,703.46 × 710.42
  4. Step 4: Simplify right side
    1,234.39x = 1,210,172.05
  5. Step 5: Solve for x
    x = 1,210,172.05/1,234.39
  6. Step 6: Final answer
    x = 980.38

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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.