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Finding the Fourth Proportional to 1,101.30, 1,652.13 and 452.07

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Solution

The fourth proportional to 1,101.30, 1,652.13 and 452.07 is: 678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.30 : 1,652.13 = 452.07 : x
  2. Step 2: Convert to fraction form
    1,101.30/1,652.13 = 452.07/x
  3. Step 3: Cross multiply
    1,101.30x = 1,652.13 × 452.07
  4. Step 4: Simplify right side
    1,101.30x = 746,878.41
  5. Step 5: Solve for x
    x = 746,878.41/1,101.30
  6. Step 6: Final answer
    x = 678.18

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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.