Home / 1,217.04-1,823.76-638.16

Finding the Fourth Proportional to 1,217.04, 1,823.76 and 638.16

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Solution

The fourth proportional to 1,217.04, 1,823.76 and 638.16 is: 956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.04 : 1,823.76 = 638.16 : x
  2. Step 2: Convert to fraction form
    1,217.04/1,823.76 = 638.16/x
  3. Step 3: Cross multiply
    1,217.04x = 1,823.76 × 638.16
  4. Step 4: Simplify right side
    1,217.04x = 1,163,850.68
  5. Step 5: Solve for x
    x = 1,163,850.68/1,217.04
  6. Step 6: Final answer
    x = 956.30

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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.