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Finding the Fourth Proportional to 712.02, 1,071.77 and 649.74

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Solution

The fourth proportional to 712.02, 1,071.77 and 649.74 is: 978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 1,071.77 = 649.74 : x
  2. Step 2: Convert to fraction form
    712.02/1,071.77 = 649.74/x
  3. Step 3: Cross multiply
    712.02x = 1,071.77 × 649.74
  4. Step 4: Simplify right side
    712.02x = 696,371.84
  5. Step 5: Solve for x
    x = 696,371.84/712.02
  6. Step 6: Final answer
    x = 978.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.