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Finding the Fourth Proportional to 703.22, 1,055.60 and 594.87

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Solution

The fourth proportional to 703.22, 1,055.60 and 594.87 is: 892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.22 : 1,055.60 = 594.87 : x
  2. Step 2: Convert to fraction form
    703.22/1,055.60 = 594.87/x
  3. Step 3: Cross multiply
    703.22x = 1,055.60 × 594.87
  4. Step 4: Simplify right side
    703.22x = 627,941.80
  5. Step 5: Solve for x
    x = 627,941.80/703.22
  6. Step 6: Final answer
    x = 892.96

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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.