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Finding the Fourth Proportional to 705.11, 1,056.57 and 631.59

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Solution

The fourth proportional to 705.11, 1,056.57 and 631.59 is: 946.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,056.57 = 631.59 : x
  2. Step 2: Convert to fraction form
    705.11/1,056.57 = 631.59/x
  3. Step 3: Cross multiply
    705.11x = 1,056.57 × 631.59
  4. Step 4: Simplify right side
    705.11x = 667,319.05
  5. Step 5: Solve for x
    x = 667,319.05/705.11
  6. Step 6: Final answer
    x = 946.40

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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.