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Finding the Fourth Proportional to 985.90, 1,478.35 and 575.14

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Solution

The fourth proportional to 985.90, 1,478.35 and 575.14 is: 862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.90 : 1,478.35 = 575.14 : x
  2. Step 2: Convert to fraction form
    985.90/1,478.35 = 575.14/x
  3. Step 3: Cross multiply
    985.90x = 1,478.35 × 575.14
  4. Step 4: Simplify right side
    985.90x = 850,258.22
  5. Step 5: Solve for x
    x = 850,258.22/985.90
  6. Step 6: Final answer
    x = 862.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.