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Finding the Fourth Proportional to 856.97, 1,283.53 and 583.59

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Solution

The fourth proportional to 856.97, 1,283.53 and 583.59 is: 874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.97 : 1,283.53 = 583.59 : x
  2. Step 2: Convert to fraction form
    856.97/1,283.53 = 583.59/x
  3. Step 3: Cross multiply
    856.97x = 1,283.53 × 583.59
  4. Step 4: Simplify right side
    856.97x = 749,055.27
  5. Step 5: Solve for x
    x = 749,055.27/856.97
  6. Step 6: Final answer
    x = 874.07

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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.