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Finding the Fourth Proportional to 1,102.68, 1,653.41 and 554.51

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Solution

The fourth proportional to 1,102.68, 1,653.41 and 554.51 is: 831.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,653.41 = 554.51 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,653.41 = 554.51/x
  3. Step 3: Cross multiply
    1,102.68x = 1,653.41 × 554.51
  4. Step 4: Simplify right side
    1,102.68x = 916,837.90
  5. Step 5: Solve for x
    x = 916,837.90/1,102.68
  6. Step 6: Final answer
    x = 831.46

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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.