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Finding the Fourth Proportional to 719.28, 989.76 and 592.08

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Solution

The fourth proportional to 719.28, 989.76 and 592.08 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.28 : 989.76 = 592.08 : x
  2. Step 2: Convert to fraction form
    719.28/989.76 = 592.08/x
  3. Step 3: Cross multiply
    719.28x = 989.76 × 592.08
  4. Step 4: Simplify right side
    719.28x = 586,017.10
  5. Step 5: Solve for x
    x = 586,017.10/719.28
  6. Step 6: Final answer
    x = 814.73

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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.