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Finding the Fourth Proportional to 1,093.80, 1,647.12 and 1,061.52

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Solution

The fourth proportional to 1,093.80, 1,647.12 and 1,061.52 is: 1,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.80 : 1,647.12 = 1,061.52 : x
  2. Step 2: Convert to fraction form
    1,093.80/1,647.12 = 1,061.52/x
  3. Step 3: Cross multiply
    1,093.80x = 1,647.12 × 1,061.52
  4. Step 4: Simplify right side
    1,093.80x = 1,748,450.82
  5. Step 5: Solve for x
    x = 1,748,450.82/1,093.80
  6. Step 6: Final answer
    x = 1,598.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.