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Finding the Fourth Proportional to 1,026.64, 1,416.75 and 560.86

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Solution

The fourth proportional to 1,026.64, 1,416.75 and 560.86 is: 773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.64 : 1,416.75 = 560.86 : x
  2. Step 2: Convert to fraction form
    1,026.64/1,416.75 = 560.86/x
  3. Step 3: Cross multiply
    1,026.64x = 1,416.75 × 560.86
  4. Step 4: Simplify right side
    1,026.64x = 794,598.41
  5. Step 5: Solve for x
    x = 794,598.41/1,026.64
  6. Step 6: Final answer
    x = 773.98

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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.