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Finding the Fourth Proportional to 1,102.19, 1,653.52 and 371.74

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Solution

The fourth proportional to 1,102.19, 1,653.52 and 371.74 is: 557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.19 : 1,653.52 = 371.74 : x
  2. Step 2: Convert to fraction form
    1,102.19/1,653.52 = 371.74/x
  3. Step 3: Cross multiply
    1,102.19x = 1,653.52 × 371.74
  4. Step 4: Simplify right side
    1,102.19x = 614,683.96
  5. Step 5: Solve for x
    x = 614,683.96/1,102.19
  6. Step 6: Final answer
    x = 557.70

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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.