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Finding the Fourth Proportional to 714.68, 1,072.18 and 554.36

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Solution

The fourth proportional to 714.68, 1,072.18 and 554.36 is: 831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.68 : 1,072.18 = 554.36 : x
  2. Step 2: Convert to fraction form
    714.68/1,072.18 = 554.36/x
  3. Step 3: Cross multiply
    714.68x = 1,072.18 × 554.36
  4. Step 4: Simplify right side
    714.68x = 594,373.70
  5. Step 5: Solve for x
    x = 594,373.70/714.68
  6. Step 6: Final answer
    x = 831.66

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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.