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Finding the Fourth Proportional to 856.77, 1,182.61 and 525.14

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Solution

The fourth proportional to 856.77, 1,182.61 and 525.14 is: 724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,182.61 = 525.14 : x
  2. Step 2: Convert to fraction form
    856.77/1,182.61 = 525.14/x
  3. Step 3: Cross multiply
    856.77x = 1,182.61 × 525.14
  4. Step 4: Simplify right side
    856.77x = 621,037.46
  5. Step 5: Solve for x
    x = 621,037.46/856.77
  6. Step 6: Final answer
    x = 724.86

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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.