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Finding the Fourth Proportional to 859.33, 1,185.65 and 509.95

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Solution

The fourth proportional to 859.33, 1,185.65 and 509.95 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.33 : 1,185.65 = 509.95 : x
  2. Step 2: Convert to fraction form
    859.33/1,185.65 = 509.95/x
  3. Step 3: Cross multiply
    859.33x = 1,185.65 × 509.95
  4. Step 4: Simplify right side
    859.33x = 604,616.29
  5. Step 5: Solve for x
    x = 604,616.29/859.33
  6. Step 6: Final answer
    x = 703.59

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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.