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Finding the Fourth Proportional to 710.71, 1,065.98 and 401.58

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Solution

The fourth proportional to 710.71, 1,065.98 and 401.58 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.71 : 1,065.98 = 401.58 : x
  2. Step 2: Convert to fraction form
    710.71/1,065.98 = 401.58/x
  3. Step 3: Cross multiply
    710.71x = 1,065.98 × 401.58
  4. Step 4: Simplify right side
    710.71x = 428,077.25
  5. Step 5: Solve for x
    x = 428,077.25/710.71
  6. Step 6: Final answer
    x = 602.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.