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Finding the Fourth Proportional to 839.82, 1,159.02 and 466.87

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Solution

The fourth proportional to 839.82, 1,159.02 and 466.87 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.82 : 1,159.02 = 466.87 : x
  2. Step 2: Convert to fraction form
    839.82/1,159.02 = 466.87/x
  3. Step 3: Cross multiply
    839.82x = 1,159.02 × 466.87
  4. Step 4: Simplify right side
    839.82x = 541,111.67
  5. Step 5: Solve for x
    x = 541,111.67/839.82
  6. Step 6: Final answer
    x = 644.32

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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.