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Finding the Fourth Proportional to 1,155.38, 1,594.44 and 689.63

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Solution

The fourth proportional to 1,155.38, 1,594.44 and 689.63 is: 951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.38 : 1,594.44 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,155.38/1,594.44 = 689.63/x
  3. Step 3: Cross multiply
    1,155.38x = 1,594.44 × 689.63
  4. Step 4: Simplify right side
    1,155.38x = 1,099,565.69
  5. Step 5: Solve for x
    x = 1,099,565.69/1,155.38
  6. Step 6: Final answer
    x = 951.70

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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.