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Finding the Fourth Proportional to 1,103.46, 1,655.18 and 410.02

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Solution

The fourth proportional to 1,103.46, 1,655.18 and 410.02 is: 615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.46 : 1,655.18 = 410.02 : x
  2. Step 2: Convert to fraction form
    1,103.46/1,655.18 = 410.02/x
  3. Step 3: Cross multiply
    1,103.46x = 1,655.18 × 410.02
  4. Step 4: Simplify right side
    1,103.46x = 678,656.90
  5. Step 5: Solve for x
    x = 678,656.90/1,103.46
  6. Step 6: Final answer
    x = 615.03

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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.