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Finding the Fourth Proportional to 1,148.99, 1,585.25 and 794.49

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Solution

The fourth proportional to 1,148.99, 1,585.25 and 794.49 is: 1,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.99 : 1,585.25 = 794.49 : x
  2. Step 2: Convert to fraction form
    1,148.99/1,585.25 = 794.49/x
  3. Step 3: Cross multiply
    1,148.99x = 1,585.25 × 794.49
  4. Step 4: Simplify right side
    1,148.99x = 1,259,467.26
  5. Step 5: Solve for x
    x = 1,259,467.26/1,148.99
  6. Step 6: Final answer
    x = 1,096.16

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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.