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Finding the Fourth Proportional to 1,071.60, 1,603.80 and 985.20

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Solution

The fourth proportional to 1,071.60, 1,603.80 and 985.20 is: 1,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.60 : 1,603.80 = 985.20 : x
  2. Step 2: Convert to fraction form
    1,071.60/1,603.80 = 985.20/x
  3. Step 3: Cross multiply
    1,071.60x = 1,603.80 × 985.20
  4. Step 4: Simplify right side
    1,071.60x = 1,580,063.76
  5. Step 5: Solve for x
    x = 1,580,063.76/1,071.60
  6. Step 6: Final answer
    x = 1,474.49

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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.