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Finding the Fourth Proportional to 882.16, 1,217.57 and 583.46

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Solution

The fourth proportional to 882.16, 1,217.57 and 583.46 is: 805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.16 : 1,217.57 = 583.46 : x
  2. Step 2: Convert to fraction form
    882.16/1,217.57 = 583.46/x
  3. Step 3: Cross multiply
    882.16x = 1,217.57 × 583.46
  4. Step 4: Simplify right side
    882.16x = 710,394.39
  5. Step 5: Solve for x
    x = 710,394.39/882.16
  6. Step 6: Final answer
    x = 805.29

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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.