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Finding the Fourth Proportional to 703.80, 966.51 and 593.10

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Solution

The fourth proportional to 703.80, 966.51 and 593.10 is: 814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 966.51 = 593.10 : x
  2. Step 2: Convert to fraction form
    703.80/966.51 = 593.10/x
  3. Step 3: Cross multiply
    703.80x = 966.51 × 593.10
  4. Step 4: Simplify right side
    703.80x = 573,237.08
  5. Step 5: Solve for x
    x = 573,237.08/703.80
  6. Step 6: Final answer
    x = 814.49

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.