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Finding the Fourth Proportional to 1,392.32, 2,088.71 and 661.65

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Solution

The fourth proportional to 1,392.32, 2,088.71 and 661.65 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.32 : 2,088.71 = 661.65 : x
  2. Step 2: Convert to fraction form
    1,392.32/2,088.71 = 661.65/x
  3. Step 3: Cross multiply
    1,392.32x = 2,088.71 × 661.65
  4. Step 4: Simplify right side
    1,392.32x = 1,382,001.78
  5. Step 5: Solve for x
    x = 1,382,001.78/1,392.32
  6. Step 6: Final answer
    x = 992.59

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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.