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Finding the Fourth Proportional to 1,123.86, 1,551.02 and 651.92

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Solution

The fourth proportional to 1,123.86, 1,551.02 and 651.92 is: 899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.86 : 1,551.02 = 651.92 : x
  2. Step 2: Convert to fraction form
    1,123.86/1,551.02 = 651.92/x
  3. Step 3: Cross multiply
    1,123.86x = 1,551.02 × 651.92
  4. Step 4: Simplify right side
    1,123.86x = 1,011,140.96
  5. Step 5: Solve for x
    x = 1,011,140.96/1,123.86
  6. Step 6: Final answer
    x = 899.70

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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.