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Finding the Fourth Proportional to 753.65, 1,130.51 and 205.76

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Solution

The fourth proportional to 753.65, 1,130.51 and 205.76 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.65 : 1,130.51 = 205.76 : x
  2. Step 2: Convert to fraction form
    753.65/1,130.51 = 205.76/x
  3. Step 3: Cross multiply
    753.65x = 1,130.51 × 205.76
  4. Step 4: Simplify right side
    753.65x = 232,617.08
  5. Step 5: Solve for x
    x = 232,617.08/753.65
  6. Step 6: Final answer
    x = 308.65

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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.