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Finding the Fourth Proportional to 1,026.70, 1,416.83 and 560.95

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Solution

The fourth proportional to 1,026.70, 1,416.83 and 560.95 is: 774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,416.83 = 560.95 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,416.83 = 560.95/x
  3. Step 3: Cross multiply
    1,026.70x = 1,416.83 × 560.95
  4. Step 4: Simplify right side
    1,026.70x = 794,770.79
  5. Step 5: Solve for x
    x = 794,770.79/1,026.70
  6. Step 6: Final answer
    x = 774.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.