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Finding the Fourth Proportional to 714.85, 1,073.25 and 368.42

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Solution

The fourth proportional to 714.85, 1,073.25 and 368.42 is: 553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.85 : 1,073.25 = 368.42 : x
  2. Step 2: Convert to fraction form
    714.85/1,073.25 = 368.42/x
  3. Step 3: Cross multiply
    714.85x = 1,073.25 × 368.42
  4. Step 4: Simplify right side
    714.85x = 395,406.77
  5. Step 5: Solve for x
    x = 395,406.77/714.85
  6. Step 6: Final answer
    x = 553.13

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