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Finding the Fourth Proportional to 1,001.45, 1,502.19 and 352.18

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Solution

The fourth proportional to 1,001.45, 1,502.19 and 352.18 is: 528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.45 : 1,502.19 = 352.18 : x
  2. Step 2: Convert to fraction form
    1,001.45/1,502.19 = 352.18/x
  3. Step 3: Cross multiply
    1,001.45x = 1,502.19 × 352.18
  4. Step 4: Simplify right side
    1,001.45x = 529,039.51
  5. Step 5: Solve for x
    x = 529,039.51/1,001.45
  6. Step 6: Final answer
    x = 528.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.