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Finding the Fourth Proportional to 876.38, 1,313.06 and 583.70

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Solution

The fourth proportional to 876.38, 1,313.06 and 583.70 is: 874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.38 : 1,313.06 = 583.70 : x
  2. Step 2: Convert to fraction form
    876.38/1,313.06 = 583.70/x
  3. Step 3: Cross multiply
    876.38x = 1,313.06 × 583.70
  4. Step 4: Simplify right side
    876.38x = 766,423.64
  5. Step 5: Solve for x
    x = 766,423.64/876.38
  6. Step 6: Final answer
    x = 874.54

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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.