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Finding the Fourth Proportional to 706.68, 1,064.03 and 491.63

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Solution

The fourth proportional to 706.68, 1,064.03 and 491.63 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 1,064.03 = 491.63 : x
  2. Step 2: Convert to fraction form
    706.68/1,064.03 = 491.63/x
  3. Step 3: Cross multiply
    706.68x = 1,064.03 × 491.63
  4. Step 4: Simplify right side
    706.68x = 523,101.29
  5. Step 5: Solve for x
    x = 523,101.29/706.68
  6. Step 6: Final answer
    x = 740.22

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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.