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Finding the Fourth Proportional to 756.57, 1,044.10 and 508.10

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Solution

The fourth proportional to 756.57, 1,044.10 and 508.10 is: 701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.57 : 1,044.10 = 508.10 : x
  2. Step 2: Convert to fraction form
    756.57/1,044.10 = 508.10/x
  3. Step 3: Cross multiply
    756.57x = 1,044.10 × 508.10
  4. Step 4: Simplify right side
    756.57x = 530,506.28
  5. Step 5: Solve for x
    x = 530,506.28/756.57
  6. Step 6: Final answer
    x = 701.20

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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.