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Finding the Fourth Proportional to 1,014.29, 1,522.04 and 365.07

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Solution

The fourth proportional to 1,014.29, 1,522.04 and 365.07 is: 547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.29 : 1,522.04 = 365.07 : x
  2. Step 2: Convert to fraction form
    1,014.29/1,522.04 = 365.07/x
  3. Step 3: Cross multiply
    1,014.29x = 1,522.04 × 365.07
  4. Step 4: Simplify right side
    1,014.29x = 555,649.32
  5. Step 5: Solve for x
    x = 555,649.32/1,014.29
  6. Step 6: Final answer
    x = 547.82

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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.