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Finding the Fourth Proportional to 1,149.19, 1,585.33 and 706.32

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Solution

The fourth proportional to 1,149.19, 1,585.33 and 706.32 is: 974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.19 : 1,585.33 = 706.32 : x
  2. Step 2: Convert to fraction form
    1,149.19/1,585.33 = 706.32/x
  3. Step 3: Cross multiply
    1,149.19x = 1,585.33 × 706.32
  4. Step 4: Simplify right side
    1,149.19x = 1,119,748.52
  5. Step 5: Solve for x
    x = 1,119,748.52/1,149.19
  6. Step 6: Final answer
    x = 974.38

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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.