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Finding the Fourth Proportional to 705.74, 1,056.54 and 461.60

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Solution

The fourth proportional to 705.74, 1,056.54 and 461.60 is: 691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 1,056.54 = 461.60 : x
  2. Step 2: Convert to fraction form
    705.74/1,056.54 = 461.60/x
  3. Step 3: Cross multiply
    705.74x = 1,056.54 × 461.60
  4. Step 4: Simplify right side
    705.74x = 487,698.86
  5. Step 5: Solve for x
    x = 487,698.86/705.74
  6. Step 6: Final answer
    x = 691.05

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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.