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Finding the Fourth Proportional to 671.71, 1,000.98 and 649.69

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Solution

The fourth proportional to 671.71, 1,000.98 and 649.69 is: 968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.71 : 1,000.98 = 649.69 : x
  2. Step 2: Convert to fraction form
    671.71/1,000.98 = 649.69/x
  3. Step 3: Cross multiply
    671.71x = 1,000.98 × 649.69
  4. Step 4: Simplify right side
    671.71x = 650,325.51
  5. Step 5: Solve for x
    x = 650,325.51/671.71
  6. Step 6: Final answer
    x = 968.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.