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Finding the Fourth Proportional to 875.33, 1,207.57 and 521.05

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Solution

The fourth proportional to 875.33, 1,207.57 and 521.05 is: 718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.33 : 1,207.57 = 521.05 : x
  2. Step 2: Convert to fraction form
    875.33/1,207.57 = 521.05/x
  3. Step 3: Cross multiply
    875.33x = 1,207.57 × 521.05
  4. Step 4: Simplify right side
    875.33x = 629,204.00
  5. Step 5: Solve for x
    x = 629,204.00/875.33
  6. Step 6: Final answer
    x = 718.82

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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.