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Finding the Fourth Proportional to 856.65, 1,182.42 and 507.54

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Solution

The fourth proportional to 856.65, 1,182.42 and 507.54 is: 700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.65 : 1,182.42 = 507.54 : x
  2. Step 2: Convert to fraction form
    856.65/1,182.42 = 507.54/x
  3. Step 3: Cross multiply
    856.65x = 1,182.42 × 507.54
  4. Step 4: Simplify right side
    856.65x = 600,125.45
  5. Step 5: Solve for x
    x = 600,125.45/856.65
  6. Step 6: Final answer
    x = 700.55

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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.