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Finding the Fourth Proportional to 856.73, 1,182.03 and 525.08

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Solution

The fourth proportional to 856.73, 1,182.03 and 525.08 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,182.03 = 525.08 : x
  2. Step 2: Convert to fraction form
    856.73/1,182.03 = 525.08/x
  3. Step 3: Cross multiply
    856.73x = 1,182.03 × 525.08
  4. Step 4: Simplify right side
    856.73x = 620,660.31
  5. Step 5: Solve for x
    x = 620,660.31/856.73
  6. Step 6: Final answer
    x = 724.45

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Double scale
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1.5x scale

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.