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Finding the Fourth Proportional to 875.82, 1,313.65 and 510.38

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Solution

The fourth proportional to 875.82, 1,313.65 and 510.38 is: 765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.82 : 1,313.65 = 510.38 : x
  2. Step 2: Convert to fraction form
    875.82/1,313.65 = 510.38/x
  3. Step 3: Cross multiply
    875.82x = 1,313.65 × 510.38
  4. Step 4: Simplify right side
    875.82x = 670,460.69
  5. Step 5: Solve for x
    x = 670,460.69/875.82
  6. Step 6: Final answer
    x = 765.52

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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.