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Finding the Fourth Proportional to 880.73, 1,214.88 and 581.98

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Solution

The fourth proportional to 880.73, 1,214.88 and 581.98 is: 802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.73 : 1,214.88 = 581.98 : x
  2. Step 2: Convert to fraction form
    880.73/1,214.88 = 581.98/x
  3. Step 3: Cross multiply
    880.73x = 1,214.88 × 581.98
  4. Step 4: Simplify right side
    880.73x = 707,032.95
  5. Step 5: Solve for x
    x = 707,032.95/880.73
  6. Step 6: Final answer
    x = 802.78

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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.