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Finding the Fourth Proportional to 951.60, 1,427.40 and 464.16

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Solution

The fourth proportional to 951.60, 1,427.40 and 464.16 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,427.40 = 464.16 : x
  2. Step 2: Convert to fraction form
    951.60/1,427.40 = 464.16/x
  3. Step 3: Cross multiply
    951.60x = 1,427.40 × 464.16
  4. Step 4: Simplify right side
    951.60x = 662,541.98
  5. Step 5: Solve for x
    x = 662,541.98/951.60
  6. Step 6: Final answer
    x = 696.24

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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.