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Finding the Fourth Proportional to 703.66, 1,054.37 and 471.70

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Solution

The fourth proportional to 703.66, 1,054.37 and 471.70 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.66 : 1,054.37 = 471.70 : x
  2. Step 2: Convert to fraction form
    703.66/1,054.37 = 471.70/x
  3. Step 3: Cross multiply
    703.66x = 1,054.37 × 471.70
  4. Step 4: Simplify right side
    703.66x = 497,343.97
  5. Step 5: Solve for x
    x = 497,343.97/703.66
  6. Step 6: Final answer
    x = 706.80

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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.