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Finding the Fourth Proportional to 1,159.41, 1,737.75 and 465.65

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Solution

The fourth proportional to 1,159.41, 1,737.75 and 465.65 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.41 : 1,737.75 = 465.65 : x
  2. Step 2: Convert to fraction form
    1,159.41/1,737.75 = 465.65/x
  3. Step 3: Cross multiply
    1,159.41x = 1,737.75 × 465.65
  4. Step 4: Simplify right side
    1,159.41x = 809,182.86
  5. Step 5: Solve for x
    x = 809,182.86/1,159.41
  6. Step 6: Final answer
    x = 697.92

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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.