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Finding the Fourth Proportional to 782.34, 1,172.09 and 507.75

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Solution

The fourth proportional to 782.34, 1,172.09 and 507.75 is: 760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.34 : 1,172.09 = 507.75 : x
  2. Step 2: Convert to fraction form
    782.34/1,172.09 = 507.75/x
  3. Step 3: Cross multiply
    782.34x = 1,172.09 × 507.75
  4. Step 4: Simplify right side
    782.34x = 595,126.16
  5. Step 5: Solve for x
    x = 595,126.16/782.34
  6. Step 6: Final answer
    x = 760.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.