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Finding the Fourth Proportional to 1,158.35, 1,737.62 and 336.64

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Solution

The fourth proportional to 1,158.35, 1,737.62 and 336.64 is: 504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.35 : 1,737.62 = 336.64 : x
  2. Step 2: Convert to fraction form
    1,158.35/1,737.62 = 336.64/x
  3. Step 3: Cross multiply
    1,158.35x = 1,737.62 × 336.64
  4. Step 4: Simplify right side
    1,158.35x = 584,952.40
  5. Step 5: Solve for x
    x = 584,952.40/1,158.35
  6. Step 6: Final answer
    x = 504.99

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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.