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Finding the Fourth Proportional to 1,005.76, 1,387.02 and 669.07

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Solution

The fourth proportional to 1,005.76, 1,387.02 and 669.07 is: 922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.76 : 1,387.02 = 669.07 : x
  2. Step 2: Convert to fraction form
    1,005.76/1,387.02 = 669.07/x
  3. Step 3: Cross multiply
    1,005.76x = 1,387.02 × 669.07
  4. Step 4: Simplify right side
    1,005.76x = 928,013.47
  5. Step 5: Solve for x
    x = 928,013.47/1,005.76
  6. Step 6: Final answer
    x = 922.70

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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.