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Finding the Fourth Proportional to 875.79, 1,207.59 and 654.37

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Solution

The fourth proportional to 875.79, 1,207.59 and 654.37 is: 902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.79 : 1,207.59 = 654.37 : x
  2. Step 2: Convert to fraction form
    875.79/1,207.59 = 654.37/x
  3. Step 3: Cross multiply
    875.79x = 1,207.59 × 654.37
  4. Step 4: Simplify right side
    875.79x = 790,210.67
  5. Step 5: Solve for x
    x = 790,210.67/875.79
  6. Step 6: Final answer
    x = 902.28

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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.