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Finding the Fourth Proportional to 931.02, 1,402.04 and 810.73

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Solution

The fourth proportional to 931.02, 1,402.04 and 810.73 is: 1,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.02 : 1,402.04 = 810.73 : x
  2. Step 2: Convert to fraction form
    931.02/1,402.04 = 810.73/x
  3. Step 3: Cross multiply
    931.02x = 1,402.04 × 810.73
  4. Step 4: Simplify right side
    931.02x = 1,136,675.89
  5. Step 5: Solve for x
    x = 1,136,675.89/931.02
  6. Step 6: Final answer
    x = 1,220.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.