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Finding the Fourth Proportional to 856.02, 1,180.86 and 524.52

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Solution

The fourth proportional to 856.02, 1,180.86 and 524.52 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,180.86 = 524.52 : x
  2. Step 2: Convert to fraction form
    856.02/1,180.86 = 524.52/x
  3. Step 3: Cross multiply
    856.02x = 1,180.86 × 524.52
  4. Step 4: Simplify right side
    856.02x = 619,384.69
  5. Step 5: Solve for x
    x = 619,384.69/856.02
  6. Step 6: Final answer
    x = 723.56

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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.