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Finding the Fourth Proportional to 758.01, 1,044.96 and 509.25

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Solution

The fourth proportional to 758.01, 1,044.96 and 509.25 is: 702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.01 : 1,044.96 = 509.25 : x
  2. Step 2: Convert to fraction form
    758.01/1,044.96 = 509.25/x
  3. Step 3: Cross multiply
    758.01x = 1,044.96 × 509.25
  4. Step 4: Simplify right side
    758.01x = 532,145.88
  5. Step 5: Solve for x
    x = 532,145.88/758.01
  6. Step 6: Final answer
    x = 702.03

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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.