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Finding the Fourth Proportional to 954.59, 1,430.62 and 461.15

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Solution

The fourth proportional to 954.59, 1,430.62 and 461.15 is: 691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.59 : 1,430.62 = 461.15 : x
  2. Step 2: Convert to fraction form
    954.59/1,430.62 = 461.15/x
  3. Step 3: Cross multiply
    954.59x = 1,430.62 × 461.15
  4. Step 4: Simplify right side
    954.59x = 659,728.70
  5. Step 5: Solve for x
    x = 659,728.70/954.59
  6. Step 6: Final answer
    x = 691.11

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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.