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Finding the Fourth Proportional to 875.77, 1,208.55 and 482.78

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Solution

The fourth proportional to 875.77, 1,208.55 and 482.78 is: 666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.77 : 1,208.55 = 482.78 : x
  2. Step 2: Convert to fraction form
    875.77/1,208.55 = 482.78/x
  3. Step 3: Cross multiply
    875.77x = 1,208.55 × 482.78
  4. Step 4: Simplify right side
    875.77x = 583,463.77
  5. Step 5: Solve for x
    x = 583,463.77/875.77
  6. Step 6: Final answer
    x = 666.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.