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Finding the Fourth Proportional to 1,060.46, 1,590.28 and 649.78

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Solution

The fourth proportional to 1,060.46, 1,590.28 and 649.78 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.46 : 1,590.28 = 649.78 : x
  2. Step 2: Convert to fraction form
    1,060.46/1,590.28 = 649.78/x
  3. Step 3: Cross multiply
    1,060.46x = 1,590.28 × 649.78
  4. Step 4: Simplify right side
    1,060.46x = 1,033,332.14
  5. Step 5: Solve for x
    x = 1,033,332.14/1,060.46
  6. Step 6: Final answer
    x = 974.42

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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.