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Finding the Fourth Proportional to 875.88, 1,313.82 and 510.30

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Solution

The fourth proportional to 875.88, 1,313.82 and 510.30 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,313.82 = 510.30 : x
  2. Step 2: Convert to fraction form
    875.88/1,313.82 = 510.30/x
  3. Step 3: Cross multiply
    875.88x = 1,313.82 × 510.30
  4. Step 4: Simplify right side
    875.88x = 670,442.35
  5. Step 5: Solve for x
    x = 670,442.35/875.88
  6. Step 6: Final answer
    x = 765.45

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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.