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Finding the Fourth Proportional to 876.83, 1,315.16 and 291.77

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Solution

The fourth proportional to 876.83, 1,315.16 and 291.77 is: 437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.83 : 1,315.16 = 291.77 : x
  2. Step 2: Convert to fraction form
    876.83/1,315.16 = 291.77/x
  3. Step 3: Cross multiply
    876.83x = 1,315.16 × 291.77
  4. Step 4: Simplify right side
    876.83x = 383,717.66
  5. Step 5: Solve for x
    x = 383,717.66/876.83
  6. Step 6: Final answer
    x = 437.62

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Why These Related Problems?

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