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Finding the Fourth Proportional to 1,149.45, 1,585.47 and 707.49

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Solution

The fourth proportional to 1,149.45, 1,585.47 and 707.49 is: 975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.45 : 1,585.47 = 707.49 : x
  2. Step 2: Convert to fraction form
    1,149.45/1,585.47 = 707.49/x
  3. Step 3: Cross multiply
    1,149.45x = 1,585.47 × 707.49
  4. Step 4: Simplify right side
    1,149.45x = 1,121,704.17
  5. Step 5: Solve for x
    x = 1,121,704.17/1,149.45
  6. Step 6: Final answer
    x = 975.86

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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.