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Finding the Fourth Proportional to 1,014.85, 1,400.49 and 566.72

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Solution

The fourth proportional to 1,014.85, 1,400.49 and 566.72 is: 782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.85 : 1,400.49 = 566.72 : x
  2. Step 2: Convert to fraction form
    1,014.85/1,400.49 = 566.72/x
  3. Step 3: Cross multiply
    1,014.85x = 1,400.49 × 566.72
  4. Step 4: Simplify right side
    1,014.85x = 793,685.69
  5. Step 5: Solve for x
    x = 793,685.69/1,014.85
  6. Step 6: Final answer
    x = 782.07

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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.