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Finding the Fourth Proportional to 1,002.66, 1,383.84 and 649.02

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Solution

The fourth proportional to 1,002.66, 1,383.84 and 649.02 is: 895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.66 : 1,383.84 = 649.02 : x
  2. Step 2: Convert to fraction form
    1,002.66/1,383.84 = 649.02/x
  3. Step 3: Cross multiply
    1,002.66x = 1,383.84 × 649.02
  4. Step 4: Simplify right side
    1,002.66x = 898,139.84
  5. Step 5: Solve for x
    x = 898,139.84/1,002.66
  6. Step 6: Final answer
    x = 895.76

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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.