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Finding the Fourth Proportional to 1,005.34, 1,387.36 and 612.09

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Solution

The fourth proportional to 1,005.34, 1,387.36 and 612.09 is: 844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.34 : 1,387.36 = 612.09 : x
  2. Step 2: Convert to fraction form
    1,005.34/1,387.36 = 612.09/x
  3. Step 3: Cross multiply
    1,005.34x = 1,387.36 × 612.09
  4. Step 4: Simplify right side
    1,005.34x = 849,189.18
  5. Step 5: Solve for x
    x = 849,189.18/1,005.34
  6. Step 6: Final answer
    x = 844.68

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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.