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Finding the Fourth Proportional to 1,177.42, 1,624.90 and 653.46

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Solution

The fourth proportional to 1,177.42, 1,624.90 and 653.46 is: 901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.42 : 1,624.90 = 653.46 : x
  2. Step 2: Convert to fraction form
    1,177.42/1,624.90 = 653.46/x
  3. Step 3: Cross multiply
    1,177.42x = 1,624.90 × 653.46
  4. Step 4: Simplify right side
    1,177.42x = 1,061,807.15
  5. Step 5: Solve for x
    x = 1,061,807.15/1,177.42
  6. Step 6: Final answer
    x = 901.81

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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.