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Finding the Fourth Proportional to 875.02, 1,207.82 and 626.48

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Solution

The fourth proportional to 875.02, 1,207.82 and 626.48 is: 864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.02 : 1,207.82 = 626.48 : x
  2. Step 2: Convert to fraction form
    875.02/1,207.82 = 626.48/x
  3. Step 3: Cross multiply
    875.02x = 1,207.82 × 626.48
  4. Step 4: Simplify right side
    875.02x = 756,675.07
  5. Step 5: Solve for x
    x = 756,675.07/875.02
  6. Step 6: Final answer
    x = 864.75

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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.