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Finding the Fourth Proportional to 756.48, 1,044.34 and 509.10

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Solution

The fourth proportional to 756.48, 1,044.34 and 509.10 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.48 : 1,044.34 = 509.10 : x
  2. Step 2: Convert to fraction form
    756.48/1,044.34 = 509.10/x
  3. Step 3: Cross multiply
    756.48x = 1,044.34 × 509.10
  4. Step 4: Simplify right side
    756.48x = 531,672.22
  5. Step 5: Solve for x
    x = 531,672.22/756.48
  6. Step 6: Final answer
    x = 702.82

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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.