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Finding the Fourth Proportional to 1,393.69, 2,090.52 and 469.18

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Solution

The fourth proportional to 1,393.69, 2,090.52 and 469.18 is: 703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.69 : 2,090.52 = 469.18 : x
  2. Step 2: Convert to fraction form
    1,393.69/2,090.52 = 469.18/x
  3. Step 3: Cross multiply
    1,393.69x = 2,090.52 × 469.18
  4. Step 4: Simplify right side
    1,393.69x = 980,830.17
  5. Step 5: Solve for x
    x = 980,830.17/1,393.69
  6. Step 6: Final answer
    x = 703.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.