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Finding the Fourth Proportional to 705.05, 1,056.43 and 473.07

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Solution

The fourth proportional to 705.05, 1,056.43 and 473.07 is: 708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 1,056.43 = 473.07 : x
  2. Step 2: Convert to fraction form
    705.05/1,056.43 = 473.07/x
  3. Step 3: Cross multiply
    705.05x = 1,056.43 × 473.07
  4. Step 4: Simplify right side
    705.05x = 499,762.97
  5. Step 5: Solve for x
    x = 499,762.97/705.05
  6. Step 6: Final answer
    x = 708.84

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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.