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Finding the Fourth Proportional to 1,158.30, 1,737.72 and 336.59

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Solution

The fourth proportional to 1,158.30, 1,737.72 and 336.59 is: 504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.30 : 1,737.72 = 336.59 : x
  2. Step 2: Convert to fraction form
    1,158.30/1,737.72 = 336.59/x
  3. Step 3: Cross multiply
    1,158.30x = 1,737.72 × 336.59
  4. Step 4: Simplify right side
    1,158.30x = 584,890.49
  5. Step 5: Solve for x
    x = 584,890.49/1,158.30
  6. Step 6: Final answer
    x = 504.96

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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.