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Finding the Fourth Proportional to 757.84, 1,045.50 and 509.24

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Solution

The fourth proportional to 757.84, 1,045.50 and 509.24 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.84 : 1,045.50 = 509.24 : x
  2. Step 2: Convert to fraction form
    757.84/1,045.50 = 509.24/x
  3. Step 3: Cross multiply
    757.84x = 1,045.50 × 509.24
  4. Step 4: Simplify right side
    757.84x = 532,410.42
  5. Step 5: Solve for x
    x = 532,410.42/757.84
  6. Step 6: Final answer
    x = 702.54

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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.