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Finding the Fourth Proportional to 856.94, 1,182.47 and 525.24

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Solution

The fourth proportional to 856.94, 1,182.47 and 525.24 is: 724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.94 : 1,182.47 = 525.24 : x
  2. Step 2: Convert to fraction form
    856.94/1,182.47 = 525.24/x
  3. Step 3: Cross multiply
    856.94x = 1,182.47 × 525.24
  4. Step 4: Simplify right side
    856.94x = 621,077.92
  5. Step 5: Solve for x
    x = 621,077.92/856.94
  6. Step 6: Final answer
    x = 724.77

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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.