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Finding the Fourth Proportional to 880.77, 1,215.08 and 586.13

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Solution

The fourth proportional to 880.77, 1,215.08 and 586.13 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.77 : 1,215.08 = 586.13 : x
  2. Step 2: Convert to fraction form
    880.77/1,215.08 = 586.13/x
  3. Step 3: Cross multiply
    880.77x = 1,215.08 × 586.13
  4. Step 4: Simplify right side
    880.77x = 712,194.84
  5. Step 5: Solve for x
    x = 712,194.84/880.77
  6. Step 6: Final answer
    x = 808.60

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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.