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Finding the Fourth Proportional to 1,178.48, 1,767.36 and 448.16

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Solution

The fourth proportional to 1,178.48, 1,767.36 and 448.16 is: 672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.48 : 1,767.36 = 448.16 : x
  2. Step 2: Convert to fraction form
    1,178.48/1,767.36 = 448.16/x
  3. Step 3: Cross multiply
    1,178.48x = 1,767.36 × 448.16
  4. Step 4: Simplify right side
    1,178.48x = 792,060.06
  5. Step 5: Solve for x
    x = 792,060.06/1,178.48
  6. Step 6: Final answer
    x = 672.10

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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.