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Finding the Fourth Proportional to 782.61, 1,172.54 and 697.86

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Solution

The fourth proportional to 782.61, 1,172.54 and 697.86 is: 1,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.61 : 1,172.54 = 697.86 : x
  2. Step 2: Convert to fraction form
    782.61/1,172.54 = 697.86/x
  3. Step 3: Cross multiply
    782.61x = 1,172.54 × 697.86
  4. Step 4: Simplify right side
    782.61x = 818,265.28
  5. Step 5: Solve for x
    x = 818,265.28/782.61
  6. Step 6: Final answer
    x = 1,045.56

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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.