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Finding the Fourth Proportional to 1,026.65, 1,416.83 and 560.90

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Solution

The fourth proportional to 1,026.65, 1,416.83 and 560.90 is: 774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.65 : 1,416.83 = 560.90 : x
  2. Step 2: Convert to fraction form
    1,026.65/1,416.83 = 560.90/x
  3. Step 3: Cross multiply
    1,026.65x = 1,416.83 × 560.90
  4. Step 4: Simplify right side
    1,026.65x = 794,690.06
  5. Step 5: Solve for x
    x = 794,690.06/1,026.65
  6. Step 6: Final answer
    x = 774.07

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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.