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Finding the Fourth Proportional to 880.57, 1,320.04 and 807.67

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Solution

The fourth proportional to 880.57, 1,320.04 and 807.67 is: 1,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.57 : 1,320.04 = 807.67 : x
  2. Step 2: Convert to fraction form
    880.57/1,320.04 = 807.67/x
  3. Step 3: Cross multiply
    880.57x = 1,320.04 × 807.67
  4. Step 4: Simplify right side
    880.57x = 1,066,156.71
  5. Step 5: Solve for x
    x = 1,066,156.71/880.57
  6. Step 6: Final answer
    x = 1,210.76

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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.