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Finding the Fourth Proportional to 1,123.94, 1,686.28 and 575.98

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Solution

The fourth proportional to 1,123.94, 1,686.28 and 575.98 is: 864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.94 : 1,686.28 = 575.98 : x
  2. Step 2: Convert to fraction form
    1,123.94/1,686.28 = 575.98/x
  3. Step 3: Cross multiply
    1,123.94x = 1,686.28 × 575.98
  4. Step 4: Simplify right side
    1,123.94x = 971,263.55
  5. Step 5: Solve for x
    x = 971,263.55/1,123.94
  6. Step 6: Final answer
    x = 864.16

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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.