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Finding the Fourth Proportional to 787, 1,085.94 and 437.68

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Solution

The fourth proportional to 787, 1,085.94 and 437.68 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    787 : 1,085.94 = 437.68 : x
  2. Step 2: Convert to fraction form
    787/1,085.94 = 437.68/x
  3. Step 3: Cross multiply
    787x = 1,085.94 × 437.68
  4. Step 4: Simplify right side
    787x = 475,294.22
  5. Step 5: Solve for x
    x = 475,294.22/787
  6. Step 6: Final answer
    x = 603.93

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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.