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Finding the Fourth Proportional to 1,102.60, 1,521.64 and 605.24

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Solution

The fourth proportional to 1,102.60, 1,521.64 and 605.24 is: 835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.60 : 1,521.64 = 605.24 : x
  2. Step 2: Convert to fraction form
    1,102.60/1,521.64 = 605.24/x
  3. Step 3: Cross multiply
    1,102.60x = 1,521.64 × 605.24
  4. Step 4: Simplify right side
    1,102.60x = 920,957.39
  5. Step 5: Solve for x
    x = 920,957.39/1,102.60
  6. Step 6: Final answer
    x = 835.26

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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.