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Finding the Fourth Proportional to 714.11, 1,070.33 and 584.33

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Solution

The fourth proportional to 714.11, 1,070.33 and 584.33 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,070.33 = 584.33 : x
  2. Step 2: Convert to fraction form
    714.11/1,070.33 = 584.33/x
  3. Step 3: Cross multiply
    714.11x = 1,070.33 × 584.33
  4. Step 4: Simplify right side
    714.11x = 625,417.66
  5. Step 5: Solve for x
    x = 625,417.66/714.11
  6. Step 6: Final answer
    x = 875.81

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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.