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Finding the Fourth Proportional to 767.55, 1,148.31 and 592.89

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Solution

The fourth proportional to 767.55, 1,148.31 and 592.89 is: 887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.55 : 1,148.31 = 592.89 : x
  2. Step 2: Convert to fraction form
    767.55/1,148.31 = 592.89/x
  3. Step 3: Cross multiply
    767.55x = 1,148.31 × 592.89
  4. Step 4: Simplify right side
    767.55x = 680,821.52
  5. Step 5: Solve for x
    x = 680,821.52/767.55
  6. Step 6: Final answer
    x = 887.01

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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.