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Finding the Fourth Proportional to 1,233.63, 1,700.28 and 859.95

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Solution

The fourth proportional to 1,233.63, 1,700.28 and 859.95 is: 1,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.63 : 1,700.28 = 859.95 : x
  2. Step 2: Convert to fraction form
    1,233.63/1,700.28 = 859.95/x
  3. Step 3: Cross multiply
    1,233.63x = 1,700.28 × 859.95
  4. Step 4: Simplify right side
    1,233.63x = 1,462,155.79
  5. Step 5: Solve for x
    x = 1,462,155.79/1,233.63
  6. Step 6: Final answer
    x = 1,185.25

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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.