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Finding the Fourth Proportional to 1,102.16, 1,653.06 and 371.72

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Solution

The fourth proportional to 1,102.16, 1,653.06 and 371.72 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.16 : 1,653.06 = 371.72 : x
  2. Step 2: Convert to fraction form
    1,102.16/1,653.06 = 371.72/x
  3. Step 3: Cross multiply
    1,102.16x = 1,653.06 × 371.72
  4. Step 4: Simplify right side
    1,102.16x = 614,475.46
  5. Step 5: Solve for x
    x = 614,475.46/1,102.16
  6. Step 6: Final answer
    x = 557.52

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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.