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Finding the Fourth Proportional to 1,103.67, 1,656.16 and 410.40

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Solution

The fourth proportional to 1,103.67, 1,656.16 and 410.40 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.67 : 1,656.16 = 410.40 : x
  2. Step 2: Convert to fraction form
    1,103.67/1,656.16 = 410.40/x
  3. Step 3: Cross multiply
    1,103.67x = 1,656.16 × 410.40
  4. Step 4: Simplify right side
    1,103.67x = 679,688.06
  5. Step 5: Solve for x
    x = 679,688.06/1,103.67
  6. Step 6: Final answer
    x = 615.84

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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.