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Finding the Fourth Proportional to 1,123.86, 1,686.07 and 567.20

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Solution

The fourth proportional to 1,123.86, 1,686.07 and 567.20 is: 850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.86 : 1,686.07 = 567.20 : x
  2. Step 2: Convert to fraction form
    1,123.86/1,686.07 = 567.20/x
  3. Step 3: Cross multiply
    1,123.86x = 1,686.07 × 567.20
  4. Step 4: Simplify right side
    1,123.86x = 956,343.83
  5. Step 5: Solve for x
    x = 956,343.83/1,123.86
  6. Step 6: Final answer
    x = 850.94

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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.