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Finding the Fourth Proportional to 1,102.04, 1,653.06 and 371.60

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Solution

The fourth proportional to 1,102.04, 1,653.06 and 371.60 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.04 : 1,653.06 = 371.60 : x
  2. Step 2: Convert to fraction form
    1,102.04/1,653.06 = 371.60/x
  3. Step 3: Cross multiply
    1,102.04x = 1,653.06 × 371.60
  4. Step 4: Simplify right side
    1,102.04x = 614,277.10
  5. Step 5: Solve for x
    x = 614,277.10/1,102.04
  6. Step 6: Final answer
    x = 557.40

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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.