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Finding the Fourth Proportional to 990.08, 1,484.64 and 784.16

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Solution

The fourth proportional to 990.08, 1,484.64 and 784.16 is: 1,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.08 : 1,484.64 = 784.16 : x
  2. Step 2: Convert to fraction form
    990.08/1,484.64 = 784.16/x
  3. Step 3: Cross multiply
    990.08x = 1,484.64 × 784.16
  4. Step 4: Simplify right side
    990.08x = 1,164,195.30
  5. Step 5: Solve for x
    x = 1,164,195.30/990.08
  6. Step 6: Final answer
    x = 1,175.86

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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.