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Finding the Fourth Proportional to 740.35, 1,021.49 and 425.70

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Solution

The fourth proportional to 740.35, 1,021.49 and 425.70 is: 587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.35 : 1,021.49 = 425.70 : x
  2. Step 2: Convert to fraction form
    740.35/1,021.49 = 425.70/x
  3. Step 3: Cross multiply
    740.35x = 1,021.49 × 425.70
  4. Step 4: Simplify right side
    740.35x = 434,849.36
  5. Step 5: Solve for x
    x = 434,849.36/740.35
  6. Step 6: Final answer
    x = 587.36

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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.