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Finding the Fourth Proportional to 990.36, 1,484.06 and 782.59

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Solution

The fourth proportional to 990.36, 1,484.06 and 782.59 is: 1,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.36 : 1,484.06 = 782.59 : x
  2. Step 2: Convert to fraction form
    990.36/1,484.06 = 782.59/x
  3. Step 3: Cross multiply
    990.36x = 1,484.06 × 782.59
  4. Step 4: Simplify right side
    990.36x = 1,161,410.52
  5. Step 5: Solve for x
    x = 1,161,410.52/990.36
  6. Step 6: Final answer
    x = 1,172.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.