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Finding the Fourth Proportional to 695.46, 1,041.28 and 500.65

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Solution

The fourth proportional to 695.46, 1,041.28 and 500.65 is: 749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.46 : 1,041.28 = 500.65 : x
  2. Step 2: Convert to fraction form
    695.46/1,041.28 = 500.65/x
  3. Step 3: Cross multiply
    695.46x = 1,041.28 × 500.65
  4. Step 4: Simplify right side
    695.46x = 521,316.83
  5. Step 5: Solve for x
    x = 521,316.83/695.46
  6. Step 6: Final answer
    x = 749.60

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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.