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Finding the Fourth Proportional to 876.11, 1,313.64 and 291.02

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Solution

The fourth proportional to 876.11, 1,313.64 and 291.02 is: 436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.11 : 1,313.64 = 291.02 : x
  2. Step 2: Convert to fraction form
    876.11/1,313.64 = 291.02/x
  3. Step 3: Cross multiply
    876.11x = 1,313.64 × 291.02
  4. Step 4: Simplify right side
    876.11x = 382,288.94
  5. Step 5: Solve for x
    x = 382,288.94/876.11
  6. Step 6: Final answer
    x = 436.35

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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.