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Finding the Fourth Proportional to 1,083.02, 1,624.46 and 352.53

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Solution

The fourth proportional to 1,083.02, 1,624.46 and 352.53 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.02 : 1,624.46 = 352.53 : x
  2. Step 2: Convert to fraction form
    1,083.02/1,624.46 = 352.53/x
  3. Step 3: Cross multiply
    1,083.02x = 1,624.46 × 352.53
  4. Step 4: Simplify right side
    1,083.02x = 572,669.12
  5. Step 5: Solve for x
    x = 572,669.12/1,083.02
  6. Step 6: Final answer
    x = 528.77

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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.