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Finding the Fourth Proportional to 1,026.21, 1,416.12 and 560.46

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Solution

The fourth proportional to 1,026.21, 1,416.12 and 560.46 is: 773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.21 : 1,416.12 = 560.46 : x
  2. Step 2: Convert to fraction form
    1,026.21/1,416.12 = 560.46/x
  3. Step 3: Cross multiply
    1,026.21x = 1,416.12 × 560.46
  4. Step 4: Simplify right side
    1,026.21x = 793,678.62
  5. Step 5: Solve for x
    x = 793,678.62/1,026.21
  6. Step 6: Final answer
    x = 773.41

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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.