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Finding the Fourth Proportional to 714.74, 985.96 and 582.16

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Solution

The fourth proportional to 714.74, 985.96 and 582.16 is: 803.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.74 : 985.96 = 582.16 : x
  2. Step 2: Convert to fraction form
    714.74/985.96 = 582.16/x
  3. Step 3: Cross multiply
    714.74x = 985.96 × 582.16
  4. Step 4: Simplify right side
    714.74x = 573,986.47
  5. Step 5: Solve for x
    x = 573,986.47/714.74
  6. Step 6: Final answer
    x = 803.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.