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Finding the Fourth Proportional to 817.99, 1,129.13 and 486.43

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Solution

The fourth proportional to 817.99, 1,129.13 and 486.43 is: 671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.99 : 1,129.13 = 486.43 : x
  2. Step 2: Convert to fraction form
    817.99/1,129.13 = 486.43/x
  3. Step 3: Cross multiply
    817.99x = 1,129.13 × 486.43
  4. Step 4: Simplify right side
    817.99x = 549,242.71
  5. Step 5: Solve for x
    x = 549,242.71/817.99
  6. Step 6: Final answer
    x = 671.45

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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.