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Finding the Fourth Proportional to 932.70, 1,288.47 and 923.10

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Solution

The fourth proportional to 932.70, 1,288.47 and 923.10 is: 1,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,288.47 = 923.10 : x
  2. Step 2: Convert to fraction form
    932.70/1,288.47 = 923.10/x
  3. Step 3: Cross multiply
    932.70x = 1,288.47 × 923.10
  4. Step 4: Simplify right side
    932.70x = 1,189,386.66
  5. Step 5: Solve for x
    x = 1,189,386.66/932.70
  6. Step 6: Final answer
    x = 1,275.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.