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Finding the Fourth Proportional to 880.00, 1,320.35 and 392.72

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Solution

The fourth proportional to 880.00, 1,320.35 and 392.72 is: 589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.00 : 1,320.35 = 392.72 : x
  2. Step 2: Convert to fraction form
    880.00/1,320.35 = 392.72/x
  3. Step 3: Cross multiply
    880.00x = 1,320.35 × 392.72
  4. Step 4: Simplify right side
    880.00x = 518,519.29
  5. Step 5: Solve for x
    x = 518,519.29/880.00
  6. Step 6: Final answer
    x = 589.23

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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.