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Finding the Fourth Proportional to 1,110.24, 1,530.24 and 847.68

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Solution

The fourth proportional to 1,110.24, 1,530.24 and 847.68 is: 1,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.24 : 1,530.24 = 847.68 : x
  2. Step 2: Convert to fraction form
    1,110.24/1,530.24 = 847.68/x
  3. Step 3: Cross multiply
    1,110.24x = 1,530.24 × 847.68
  4. Step 4: Simplify right side
    1,110.24x = 1,297,153.84
  5. Step 5: Solve for x
    x = 1,297,153.84/1,110.24
  6. Step 6: Final answer
    x = 1,168.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.