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Finding the Fourth Proportional to 880.26, 1,214.80 and 585.02

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Solution

The fourth proportional to 880.26, 1,214.80 and 585.02 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.26 : 1,214.80 = 585.02 : x
  2. Step 2: Convert to fraction form
    880.26/1,214.80 = 585.02/x
  3. Step 3: Cross multiply
    880.26x = 1,214.80 × 585.02
  4. Step 4: Simplify right side
    880.26x = 710,682.30
  5. Step 5: Solve for x
    x = 710,682.30/880.26
  6. Step 6: Final answer
    x = 807.35

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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.