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Finding the Fourth Proportional to 937.08, 1,408.65 and 907.92

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Solution

The fourth proportional to 937.08, 1,408.65 and 907.92 is: 1,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.08 : 1,408.65 = 907.92 : x
  2. Step 2: Convert to fraction form
    937.08/1,408.65 = 907.92/x
  3. Step 3: Cross multiply
    937.08x = 1,408.65 × 907.92
  4. Step 4: Simplify right side
    937.08x = 1,278,941.51
  5. Step 5: Solve for x
    x = 1,278,941.51/937.08
  6. Step 6: Final answer
    x = 1,364.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.