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Finding the Fourth Proportional to 1,129.65, 1,695.08 and 513.30

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Solution

The fourth proportional to 1,129.65, 1,695.08 and 513.30 is: 770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.65 : 1,695.08 = 513.30 : x
  2. Step 2: Convert to fraction form
    1,129.65/1,695.08 = 513.30/x
  3. Step 3: Cross multiply
    1,129.65x = 1,695.08 × 513.30
  4. Step 4: Simplify right side
    1,129.65x = 870,084.56
  5. Step 5: Solve for x
    x = 870,084.56/1,129.65
  6. Step 6: Final answer
    x = 770.22

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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.