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Finding the Fourth Proportional to 1,152.48, 1,727.10 and 864.12

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Solution

The fourth proportional to 1,152.48, 1,727.10 and 864.12 is: 1,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.48 : 1,727.10 = 864.12 : x
  2. Step 2: Convert to fraction form
    1,152.48/1,727.10 = 864.12/x
  3. Step 3: Cross multiply
    1,152.48x = 1,727.10 × 864.12
  4. Step 4: Simplify right side
    1,152.48x = 1,492,421.65
  5. Step 5: Solve for x
    x = 1,492,421.65/1,152.48
  6. Step 6: Final answer
    x = 1,294.97

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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.