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Finding the Fourth Proportional to 877.32, 1,209.98 and 597.26

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Solution

The fourth proportional to 877.32, 1,209.98 and 597.26 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.32 : 1,209.98 = 597.26 : x
  2. Step 2: Convert to fraction form
    877.32/1,209.98 = 597.26/x
  3. Step 3: Cross multiply
    877.32x = 1,209.98 × 597.26
  4. Step 4: Simplify right side
    877.32x = 722,663.62
  5. Step 5: Solve for x
    x = 722,663.62/877.32
  6. Step 6: Final answer
    x = 823.72

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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.