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Finding the Fourth Proportional to 910.20, 1,363.30 and 714.94

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Solution

The fourth proportional to 910.20, 1,363.30 and 714.94 is: 1,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.20 : 1,363.30 = 714.94 : x
  2. Step 2: Convert to fraction form
    910.20/1,363.30 = 714.94/x
  3. Step 3: Cross multiply
    910.20x = 1,363.30 × 714.94
  4. Step 4: Simplify right side
    910.20x = 974,677.70
  5. Step 5: Solve for x
    x = 974,677.70/910.20
  6. Step 6: Final answer
    x = 1,070.84

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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.