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Finding the Fourth Proportional to 1,123.55, 1,684.29 and 574.53

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Solution

The fourth proportional to 1,123.55, 1,684.29 and 574.53 is: 861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.55 : 1,684.29 = 574.53 : x
  2. Step 2: Convert to fraction form
    1,123.55/1,684.29 = 574.53/x
  3. Step 3: Cross multiply
    1,123.55x = 1,684.29 × 574.53
  4. Step 4: Simplify right side
    1,123.55x = 967,666.71
  5. Step 5: Solve for x
    x = 967,666.71/1,123.55
  6. Step 6: Final answer
    x = 861.26

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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.