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Finding the Fourth Proportional to 1,123.85, 1,685.14 and 465.35

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Solution

The fourth proportional to 1,123.85, 1,685.14 and 465.35 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.85 : 1,685.14 = 465.35 : x
  2. Step 2: Convert to fraction form
    1,123.85/1,685.14 = 465.35/x
  3. Step 3: Cross multiply
    1,123.85x = 1,685.14 × 465.35
  4. Step 4: Simplify right side
    1,123.85x = 784,184.69
  5. Step 5: Solve for x
    x = 784,184.69/1,123.85
  6. Step 6: Final answer
    x = 697.77

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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.