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Finding the Fourth Proportional to 937.56, 1,409.38 and 869.93

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Solution

The fourth proportional to 937.56, 1,409.38 and 869.93 is: 1,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.56 : 1,409.38 = 869.93 : x
  2. Step 2: Convert to fraction form
    937.56/1,409.38 = 869.93/x
  3. Step 3: Cross multiply
    937.56x = 1,409.38 × 869.93
  4. Step 4: Simplify right side
    937.56x = 1,226,061.94
  5. Step 5: Solve for x
    x = 1,226,061.94/937.56
  6. Step 6: Final answer
    x = 1,307.72

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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.