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Finding the Fourth Proportional to 1,393.45, 2,090.15 and 468.93

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Solution

The fourth proportional to 1,393.45, 2,090.15 and 468.93 is: 703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.45 : 2,090.15 = 468.93 : x
  2. Step 2: Convert to fraction form
    1,393.45/2,090.15 = 468.93/x
  3. Step 3: Cross multiply
    1,393.45x = 2,090.15 × 468.93
  4. Step 4: Simplify right side
    1,393.45x = 980,131.69
  5. Step 5: Solve for x
    x = 980,131.69/1,393.45
  6. Step 6: Final answer
    x = 703.39

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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.