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Finding the Fourth Proportional to 879.87, 1,214.46 and 585.03

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Solution

The fourth proportional to 879.87, 1,214.46 and 585.03 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.87 : 1,214.46 = 585.03 : x
  2. Step 2: Convert to fraction form
    879.87/1,214.46 = 585.03/x
  3. Step 3: Cross multiply
    879.87x = 1,214.46 × 585.03
  4. Step 4: Simplify right side
    879.87x = 710,495.53
  5. Step 5: Solve for x
    x = 710,495.53/879.87
  6. Step 6: Final answer
    x = 807.50

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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.