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Finding the Fourth Proportional to 867.22, 1,300.02 and 520.64

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Solution

The fourth proportional to 867.22, 1,300.02 and 520.64 is: 780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.22 : 1,300.02 = 520.64 : x
  2. Step 2: Convert to fraction form
    867.22/1,300.02 = 520.64/x
  3. Step 3: Cross multiply
    867.22x = 1,300.02 × 520.64
  4. Step 4: Simplify right side
    867.22x = 676,838.84
  5. Step 5: Solve for x
    x = 676,838.84/867.22
  6. Step 6: Final answer
    x = 780.47

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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.