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Finding the Fourth Proportional to 1,083.40, 1,624.56 and 352.90

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Solution

The fourth proportional to 1,083.40, 1,624.56 and 352.90 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.40 : 1,624.56 = 352.90 : x
  2. Step 2: Convert to fraction form
    1,083.40/1,624.56 = 352.90/x
  3. Step 3: Cross multiply
    1,083.40x = 1,624.56 × 352.90
  4. Step 4: Simplify right side
    1,083.40x = 573,307.22
  5. Step 5: Solve for x
    x = 573,307.22/1,083.40
  6. Step 6: Final answer
    x = 529.17

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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.