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Finding the Fourth Proportional to 876.14, 1,313.67 and 510.74

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Solution

The fourth proportional to 876.14, 1,313.67 and 510.74 is: 765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.14 : 1,313.67 = 510.74 : x
  2. Step 2: Convert to fraction form
    876.14/1,313.67 = 510.74/x
  3. Step 3: Cross multiply
    876.14x = 1,313.67 × 510.74
  4. Step 4: Simplify right side
    876.14x = 670,943.82
  5. Step 5: Solve for x
    x = 670,943.82/876.14
  6. Step 6: Final answer
    x = 765.80

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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.