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Finding the Fourth Proportional to 990.34, 1,366.86 and 570.94

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Solution

The fourth proportional to 990.34, 1,366.86 and 570.94 is: 788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.34 : 1,366.86 = 570.94 : x
  2. Step 2: Convert to fraction form
    990.34/1,366.86 = 570.94/x
  3. Step 3: Cross multiply
    990.34x = 1,366.86 × 570.94
  4. Step 4: Simplify right side
    990.34x = 780,395.05
  5. Step 5: Solve for x
    x = 780,395.05/990.34
  6. Step 6: Final answer
    x = 788.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.