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Finding the Fourth Proportional to 805.59, 1,112.63 and 570.13

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Solution

The fourth proportional to 805.59, 1,112.63 and 570.13 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.59 : 1,112.63 = 570.13 : x
  2. Step 2: Convert to fraction form
    805.59/1,112.63 = 570.13/x
  3. Step 3: Cross multiply
    805.59x = 1,112.63 × 570.13
  4. Step 4: Simplify right side
    805.59x = 634,335.33
  5. Step 5: Solve for x
    x = 634,335.33/805.59
  6. Step 6: Final answer
    x = 787.42

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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.