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Finding the Fourth Proportional to 1,102.06, 1,521.48 and 730.14

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Solution

The fourth proportional to 1,102.06, 1,521.48 and 730.14 is: 1,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,521.48 = 730.14 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,521.48 = 730.14/x
  3. Step 3: Cross multiply
    1,102.06x = 1,521.48 × 730.14
  4. Step 4: Simplify right side
    1,102.06x = 1,110,893.41
  5. Step 5: Solve for x
    x = 1,110,893.41/1,102.06
  6. Step 6: Final answer
    x = 1,008.02

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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.