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Finding the Fourth Proportional to 1,026.74, 1,416.89 and 560.99

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Solution

The fourth proportional to 1,026.74, 1,416.89 and 560.99 is: 774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.74 : 1,416.89 = 560.99 : x
  2. Step 2: Convert to fraction form
    1,026.74/1,416.89 = 560.99/x
  3. Step 3: Cross multiply
    1,026.74x = 1,416.89 × 560.99
  4. Step 4: Simplify right side
    1,026.74x = 794,855.44
  5. Step 5: Solve for x
    x = 794,855.44/1,026.74
  6. Step 6: Final answer
    x = 774.16

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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.