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Finding the Fourth Proportional to 875.43, 1,312.68 and 510.33

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Solution

The fourth proportional to 875.43, 1,312.68 and 510.33 is: 765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.43 : 1,312.68 = 510.33 : x
  2. Step 2: Convert to fraction form
    875.43/1,312.68 = 510.33/x
  3. Step 3: Cross multiply
    875.43x = 1,312.68 × 510.33
  4. Step 4: Simplify right side
    875.43x = 669,899.98
  5. Step 5: Solve for x
    x = 669,899.98/875.43
  6. Step 6: Final answer
    x = 765.22

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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.