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Finding the Fourth Proportional to 1,024.67, 1,414.05 and 558.92

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Solution

The fourth proportional to 1,024.67, 1,414.05 and 558.92 is: 771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.67 : 1,414.05 = 558.92 : x
  2. Step 2: Convert to fraction form
    1,024.67/1,414.05 = 558.92/x
  3. Step 3: Cross multiply
    1,024.67x = 1,414.05 × 558.92
  4. Step 4: Simplify right side
    1,024.67x = 790,345.41
  5. Step 5: Solve for x
    x = 790,345.41/1,024.67
  6. Step 6: Final answer
    x = 771.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.