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Finding the Fourth Proportional to 876.95, 1,315.25 and 291.86

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Solution

The fourth proportional to 876.95, 1,315.25 and 291.86 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.95 : 1,315.25 = 291.86 : x
  2. Step 2: Convert to fraction form
    876.95/1,315.25 = 291.86/x
  3. Step 3: Cross multiply
    876.95x = 1,315.25 × 291.86
  4. Step 4: Simplify right side
    876.95x = 383,868.87
  5. Step 5: Solve for x
    x = 383,868.87/876.95
  6. Step 6: Final answer
    x = 437.73

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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.