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Finding the Fourth Proportional to 740.23, 1,021.42 and 425.51

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Solution

The fourth proportional to 740.23, 1,021.42 and 425.51 is: 587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.23 : 1,021.42 = 425.51 : x
  2. Step 2: Convert to fraction form
    740.23/1,021.42 = 425.51/x
  3. Step 3: Cross multiply
    740.23x = 1,021.42 × 425.51
  4. Step 4: Simplify right side
    740.23x = 434,624.42
  5. Step 5: Solve for x
    x = 434,624.42/740.23
  6. Step 6: Final answer
    x = 587.15

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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.