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Finding the Fourth Proportional to 1,129.68, 1,558.08 and 816.12

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Solution

The fourth proportional to 1,129.68, 1,558.08 and 816.12 is: 1,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.68 : 1,558.08 = 816.12 : x
  2. Step 2: Convert to fraction form
    1,129.68/1,558.08 = 816.12/x
  3. Step 3: Cross multiply
    1,129.68x = 1,558.08 × 816.12
  4. Step 4: Simplify right side
    1,129.68x = 1,271,580.25
  5. Step 5: Solve for x
    x = 1,271,580.25/1,129.68
  6. Step 6: Final answer
    x = 1,125.61

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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.