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Finding the Fourth Proportional to 929.66, 1,282.03 and 649.53

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Solution

The fourth proportional to 929.66, 1,282.03 and 649.53 is: 895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.66 : 1,282.03 = 649.53 : x
  2. Step 2: Convert to fraction form
    929.66/1,282.03 = 649.53/x
  3. Step 3: Cross multiply
    929.66x = 1,282.03 × 649.53
  4. Step 4: Simplify right side
    929.66x = 832,715.32
  5. Step 5: Solve for x
    x = 832,715.32/929.66
  6. Step 6: Final answer
    x = 895.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.