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Finding the Fourth Proportional to 839.45, 1,158.46 and 466.45

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Solution

The fourth proportional to 839.45, 1,158.46 and 466.45 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.45 : 1,158.46 = 466.45 : x
  2. Step 2: Convert to fraction form
    839.45/1,158.46 = 466.45/x
  3. Step 3: Cross multiply
    839.45x = 1,158.46 × 466.45
  4. Step 4: Simplify right side
    839.45x = 540,359.60
  5. Step 5: Solve for x
    x = 540,359.60/839.45
  6. Step 6: Final answer
    x = 643.70

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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.