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Finding the Fourth Proportional to 906.07, 1,358.96 and 752.98

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Solution

The fourth proportional to 906.07, 1,358.96 and 752.98 is: 1,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.07 : 1,358.96 = 752.98 : x
  2. Step 2: Convert to fraction form
    906.07/1,358.96 = 752.98/x
  3. Step 3: Cross multiply
    906.07x = 1,358.96 × 752.98
  4. Step 4: Simplify right side
    906.07x = 1,023,269.70
  5. Step 5: Solve for x
    x = 1,023,269.70/906.07
  6. Step 6: Final answer
    x = 1,129.35

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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.