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Finding the Fourth Proportional to 719.61, 992.89 and 522.78

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Solution

The fourth proportional to 719.61, 992.89 and 522.78 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.61 : 992.89 = 522.78 : x
  2. Step 2: Convert to fraction form
    719.61/992.89 = 522.78/x
  3. Step 3: Cross multiply
    719.61x = 992.89 × 522.78
  4. Step 4: Simplify right side
    719.61x = 519,055.46
  5. Step 5: Solve for x
    x = 519,055.46/719.61
  6. Step 6: Final answer
    x = 721.31

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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.