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Finding the Fourth Proportional to 866.77, 1,300.88 and 347.13

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Solution

The fourth proportional to 866.77, 1,300.88 and 347.13 is: 520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.77 : 1,300.88 = 347.13 : x
  2. Step 2: Convert to fraction form
    866.77/1,300.88 = 347.13/x
  3. Step 3: Cross multiply
    866.77x = 1,300.88 × 347.13
  4. Step 4: Simplify right side
    866.77x = 451,574.47
  5. Step 5: Solve for x
    x = 451,574.47/866.77
  6. Step 6: Final answer
    x = 520.99

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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.