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Finding the Fourth Proportional to 877.29, 1,210.64 and 527.97

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Solution

The fourth proportional to 877.29, 1,210.64 and 527.97 is: 728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.29 : 1,210.64 = 527.97 : x
  2. Step 2: Convert to fraction form
    877.29/1,210.64 = 527.97/x
  3. Step 3: Cross multiply
    877.29x = 1,210.64 × 527.97
  4. Step 4: Simplify right side
    877.29x = 639,181.60
  5. Step 5: Solve for x
    x = 639,181.60/877.29
  6. Step 6: Final answer
    x = 728.59

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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.