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Finding the Fourth Proportional to 1,098.36, 1,653.51 and 1,001.46

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Solution

The fourth proportional to 1,098.36, 1,653.51 and 1,001.46 is: 1,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.36 : 1,653.51 = 1,001.46 : x
  2. Step 2: Convert to fraction form
    1,098.36/1,653.51 = 1,001.46/x
  3. Step 3: Cross multiply
    1,098.36x = 1,653.51 × 1,001.46
  4. Step 4: Simplify right side
    1,098.36x = 1,655,934.08
  5. Step 5: Solve for x
    x = 1,655,934.08/1,098.36
  6. Step 6: Final answer
    x = 1,507.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.