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Finding the Fourth Proportional to 1,098.36, 1,515.74 and 601.02

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Solution

The fourth proportional to 1,098.36, 1,515.74 and 601.02 is: 829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.36 : 1,515.74 = 601.02 : x
  2. Step 2: Convert to fraction form
    1,098.36/1,515.74 = 601.02/x
  3. Step 3: Cross multiply
    1,098.36x = 1,515.74 × 601.02
  4. Step 4: Simplify right side
    1,098.36x = 910,987.05
  5. Step 5: Solve for x
    x = 910,987.05/1,098.36
  6. Step 6: Final answer
    x = 829.41

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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.