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Finding the Fourth Proportional to 714.40, 1,066.79 and 584.66

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Solution

The fourth proportional to 714.40, 1,066.79 and 584.66 is: 873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 1,066.79 = 584.66 : x
  2. Step 2: Convert to fraction form
    714.40/1,066.79 = 584.66/x
  3. Step 3: Cross multiply
    714.40x = 1,066.79 × 584.66
  4. Step 4: Simplify right side
    714.40x = 623,713.57
  5. Step 5: Solve for x
    x = 623,713.57/714.40
  6. Step 6: Final answer
    x = 873.06

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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.