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Finding the Fourth Proportional to 923.59, 1,382.20 and 572.05

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Solution

The fourth proportional to 923.59, 1,382.20 and 572.05 is: 856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.59 : 1,382.20 = 572.05 : x
  2. Step 2: Convert to fraction form
    923.59/1,382.20 = 572.05/x
  3. Step 3: Cross multiply
    923.59x = 1,382.20 × 572.05
  4. Step 4: Simplify right side
    923.59x = 790,687.51
  5. Step 5: Solve for x
    x = 790,687.51/923.59
  6. Step 6: Final answer
    x = 856.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.