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Finding the Fourth Proportional to 1,158.50, 1,737.75 and 509.69

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Solution

The fourth proportional to 1,158.50, 1,737.75 and 509.69 is: 764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.50 : 1,737.75 = 509.69 : x
  2. Step 2: Convert to fraction form
    1,158.50/1,737.75 = 509.69/x
  3. Step 3: Cross multiply
    1,158.50x = 1,737.75 × 509.69
  4. Step 4: Simplify right side
    1,158.50x = 885,720.05
  5. Step 5: Solve for x
    x = 885,720.05/1,158.50
  6. Step 6: Final answer
    x = 764.54

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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.