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Finding the Fourth Proportional to 714.84, 1,066.25 and 649.22

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Solution

The fourth proportional to 714.84, 1,066.25 and 649.22 is: 968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.84 : 1,066.25 = 649.22 : x
  2. Step 2: Convert to fraction form
    714.84/1,066.25 = 649.22/x
  3. Step 3: Cross multiply
    714.84x = 1,066.25 × 649.22
  4. Step 4: Simplify right side
    714.84x = 692,230.83
  5. Step 5: Solve for x
    x = 692,230.83/714.84
  6. Step 6: Final answer
    x = 968.37

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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.