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Finding the Fourth Proportional to 740.75, 1,021.40 and 474.84

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Solution

The fourth proportional to 740.75, 1,021.40 and 474.84 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.75 : 1,021.40 = 474.84 : x
  2. Step 2: Convert to fraction form
    740.75/1,021.40 = 474.84/x
  3. Step 3: Cross multiply
    740.75x = 1,021.40 × 474.84
  4. Step 4: Simplify right side
    740.75x = 485,001.58
  5. Step 5: Solve for x
    x = 485,001.58/740.75
  6. Step 6: Final answer
    x = 654.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.