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Finding the Fourth Proportional to 1,056.92, 1,585.10 and 727.79

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Solution

The fourth proportional to 1,056.92, 1,585.10 and 727.79 is: 1,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.92 : 1,585.10 = 727.79 : x
  2. Step 2: Convert to fraction form
    1,056.92/1,585.10 = 727.79/x
  3. Step 3: Cross multiply
    1,056.92x = 1,585.10 × 727.79
  4. Step 4: Simplify right side
    1,056.92x = 1,153,613.82
  5. Step 5: Solve for x
    x = 1,153,613.82/1,056.92
  6. Step 6: Final answer
    x = 1,091.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.