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Finding the Fourth Proportional to 827.52, 1,141.89 and 473.46

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Solution

The fourth proportional to 827.52, 1,141.89 and 473.46 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.52 : 1,141.89 = 473.46 : x
  2. Step 2: Convert to fraction form
    827.52/1,141.89 = 473.46/x
  3. Step 3: Cross multiply
    827.52x = 1,141.89 × 473.46
  4. Step 4: Simplify right side
    827.52x = 540,639.24
  5. Step 5: Solve for x
    x = 540,639.24/827.52
  6. Step 6: Final answer
    x = 653.32

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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.