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Finding the Fourth Proportional to 990.42, 1,366.45 and 570.76

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Solution

The fourth proportional to 990.42, 1,366.45 and 570.76 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.42 : 1,366.45 = 570.76 : x
  2. Step 2: Convert to fraction form
    990.42/1,366.45 = 570.76/x
  3. Step 3: Cross multiply
    990.42x = 1,366.45 × 570.76
  4. Step 4: Simplify right side
    990.42x = 779,919.45
  5. Step 5: Solve for x
    x = 779,919.45/990.42
  6. Step 6: Final answer
    x = 787.46

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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.