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Finding the Fourth Proportional to 1,575.04, 2,363.36 and 805.12

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Solution

The fourth proportional to 1,575.04, 2,363.36 and 805.12 is: 1,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.04 : 2,363.36 = 805.12 : x
  2. Step 2: Convert to fraction form
    1,575.04/2,363.36 = 805.12/x
  3. Step 3: Cross multiply
    1,575.04x = 2,363.36 × 805.12
  4. Step 4: Simplify right side
    1,575.04x = 1,902,788.40
  5. Step 5: Solve for x
    x = 1,902,788.40/1,575.04
  6. Step 6: Final answer
    x = 1,208.09

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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.