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Finding the Fourth Proportional to 875.87, 1,208.71 and 482.90

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Solution

The fourth proportional to 875.87, 1,208.71 and 482.90 is: 666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.87 : 1,208.71 = 482.90 : x
  2. Step 2: Convert to fraction form
    875.87/1,208.71 = 482.90/x
  3. Step 3: Cross multiply
    875.87x = 1,208.71 × 482.90
  4. Step 4: Simplify right side
    875.87x = 583,678.81
  5. Step 5: Solve for x
    x = 583,678.81/875.87
  6. Step 6: Final answer
    x = 666.40

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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.