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Finding the Fourth Proportional to 1,431.52, 2,147.02 and 457.64

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Solution

The fourth proportional to 1,431.52, 2,147.02 and 457.64 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.52 : 2,147.02 = 457.64 : x
  2. Step 2: Convert to fraction form
    1,431.52/2,147.02 = 457.64/x
  3. Step 3: Cross multiply
    1,431.52x = 2,147.02 × 457.64
  4. Step 4: Simplify right side
    1,431.52x = 982,562.23
  5. Step 5: Solve for x
    x = 982,562.23/1,431.52
  6. Step 6: Final answer
    x = 686.38

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1.5x scale

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.