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Finding the Fourth Proportional to 880.55, 1,216.18 and 585.31

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Solution

The fourth proportional to 880.55, 1,216.18 and 585.31 is: 808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.55 : 1,216.18 = 585.31 : x
  2. Step 2: Convert to fraction form
    880.55/1,216.18 = 585.31/x
  3. Step 3: Cross multiply
    880.55x = 1,216.18 × 585.31
  4. Step 4: Simplify right side
    880.55x = 711,842.32
  5. Step 5: Solve for x
    x = 711,842.32/880.55
  6. Step 6: Final answer
    x = 808.41

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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.