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Finding the Fourth Proportional to 777.64, 1,159.89 and 732.52

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Solution

The fourth proportional to 777.64, 1,159.89 and 732.52 is: 1,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.64 : 1,159.89 = 732.52 : x
  2. Step 2: Convert to fraction form
    777.64/1,159.89 = 732.52/x
  3. Step 3: Cross multiply
    777.64x = 1,159.89 × 732.52
  4. Step 4: Simplify right side
    777.64x = 849,642.62
  5. Step 5: Solve for x
    x = 849,642.62/777.64
  6. Step 6: Final answer
    x = 1,092.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.