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Finding the Fourth Proportional to 859.28, 1,184.91 and 509.90

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Solution

The fourth proportional to 859.28, 1,184.91 and 509.90 is: 703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.28 : 1,184.91 = 509.90 : x
  2. Step 2: Convert to fraction form
    859.28/1,184.91 = 509.90/x
  3. Step 3: Cross multiply
    859.28x = 1,184.91 × 509.90
  4. Step 4: Simplify right side
    859.28x = 604,185.61
  5. Step 5: Solve for x
    x = 604,185.61/859.28
  6. Step 6: Final answer
    x = 703.13

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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.