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Finding the Fourth Proportional to 972.72, 1,459.35 and 410.10

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Solution

The fourth proportional to 972.72, 1,459.35 and 410.10 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.72 : 1,459.35 = 410.10 : x
  2. Step 2: Convert to fraction form
    972.72/1,459.35 = 410.10/x
  3. Step 3: Cross multiply
    972.72x = 1,459.35 × 410.10
  4. Step 4: Simplify right side
    972.72x = 598,479.44
  5. Step 5: Solve for x
    x = 598,479.44/972.72
  6. Step 6: Final answer
    x = 615.26

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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.