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Finding the Fourth Proportional to 787, 1,085.43 and 538.06

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Solution

The fourth proportional to 787, 1,085.43 and 538.06 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 1,085.43 = 538.06 : x
  2. Step 2: Convert to fraction form
    787/1,085.43 = 538.06/x
  3. Step 3: Cross multiply
    787x = 1,085.43 × 538.06
  4. Step 4: Simplify right side
    787x = 584,026.47
  5. Step 5: Solve for x
    x = 584,026.47/787
  6. Step 6: Final answer
    x = 742.09

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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.