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Finding the Fourth Proportional to 1,106.60, 1,660.10 and 457.38

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Solution

The fourth proportional to 1,106.60, 1,660.10 and 457.38 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.60 : 1,660.10 = 457.38 : x
  2. Step 2: Convert to fraction form
    1,106.60/1,660.10 = 457.38/x
  3. Step 3: Cross multiply
    1,106.60x = 1,660.10 × 457.38
  4. Step 4: Simplify right side
    1,106.60x = 759,294.25
  5. Step 5: Solve for x
    x = 759,294.25/1,106.60
  6. Step 6: Final answer
    x = 686.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.