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Finding the Fourth Proportional to 875.30, 1,207.97 and 502.28

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Solution

The fourth proportional to 875.30, 1,207.97 and 502.28 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.30 : 1,207.97 = 502.28 : x
  2. Step 2: Convert to fraction form
    875.30/1,207.97 = 502.28/x
  3. Step 3: Cross multiply
    875.30x = 1,207.97 × 502.28
  4. Step 4: Simplify right side
    875.30x = 606,735.15
  5. Step 5: Solve for x
    x = 606,735.15/875.30
  6. Step 6: Final answer
    x = 693.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.