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Finding the Fourth Proportional to 990.13, 1,366.64 and 570.52

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Solution

The fourth proportional to 990.13, 1,366.64 and 570.52 is: 787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.13 : 1,366.64 = 570.52 : x
  2. Step 2: Convert to fraction form
    990.13/1,366.64 = 570.52/x
  3. Step 3: Cross multiply
    990.13x = 1,366.64 × 570.52
  4. Step 4: Simplify right side
    990.13x = 779,695.45
  5. Step 5: Solve for x
    x = 779,695.45/990.13
  6. Step 6: Final answer
    x = 787.47

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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.