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Finding the Fourth Proportional to 920.66, 1,379.70 and 714.28

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Solution

The fourth proportional to 920.66, 1,379.70 and 714.28 is: 1,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.66 : 1,379.70 = 714.28 : x
  2. Step 2: Convert to fraction form
    920.66/1,379.70 = 714.28/x
  3. Step 3: Cross multiply
    920.66x = 1,379.70 × 714.28
  4. Step 4: Simplify right side
    920.66x = 985,492.12
  5. Step 5: Solve for x
    x = 985,492.12/920.66
  6. Step 6: Final answer
    x = 1,070.42

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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.