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Finding the Fourth Proportional to 932.98, 1,287.57 and 777.46

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Solution

The fourth proportional to 932.98, 1,287.57 and 777.46 is: 1,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.98 : 1,287.57 = 777.46 : x
  2. Step 2: Convert to fraction form
    932.98/1,287.57 = 777.46/x
  3. Step 3: Cross multiply
    932.98x = 1,287.57 × 777.46
  4. Step 4: Simplify right side
    932.98x = 1,001,034.17
  5. Step 5: Solve for x
    x = 1,001,034.17/932.98
  6. Step 6: Final answer
    x = 1,072.94

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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.