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Finding the Fourth Proportional to 1,045.73, 1,566.76 and 932.73

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Solution

The fourth proportional to 1,045.73, 1,566.76 and 932.73 is: 1,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.73 : 1,566.76 = 932.73 : x
  2. Step 2: Convert to fraction form
    1,045.73/1,566.76 = 932.73/x
  3. Step 3: Cross multiply
    1,045.73x = 1,566.76 × 932.73
  4. Step 4: Simplify right side
    1,045.73x = 1,461,364.05
  5. Step 5: Solve for x
    x = 1,461,364.05/1,045.73
  6. Step 6: Final answer
    x = 1,397.46

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