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Finding the Fourth Proportional to 740.93, 1,021.75 and 530.73

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Solution

The fourth proportional to 740.93, 1,021.75 and 530.73 is: 731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.93 : 1,021.75 = 530.73 : x
  2. Step 2: Convert to fraction form
    740.93/1,021.75 = 530.73/x
  3. Step 3: Cross multiply
    740.93x = 1,021.75 × 530.73
  4. Step 4: Simplify right side
    740.93x = 542,272.05
  5. Step 5: Solve for x
    x = 542,272.05/740.93
  6. Step 6: Final answer
    x = 731.89

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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.