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Finding the Fourth Proportional to 1,113.60, 1,536.08 and 798.42

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Solution

The fourth proportional to 1,113.60, 1,536.08 and 798.42 is: 1,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.60 : 1,536.08 = 798.42 : x
  2. Step 2: Convert to fraction form
    1,113.60/1,536.08 = 798.42/x
  3. Step 3: Cross multiply
    1,113.60x = 1,536.08 × 798.42
  4. Step 4: Simplify right side
    1,113.60x = 1,226,433.00
  5. Step 5: Solve for x
    x = 1,226,433.00/1,113.60
  6. Step 6: Final answer
    x = 1,101.32

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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.