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Finding the Fourth Proportional to 1,023.06, 1,534.29 and 364.83

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Solution

The fourth proportional to 1,023.06, 1,534.29 and 364.83 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.06 : 1,534.29 = 364.83 : x
  2. Step 2: Convert to fraction form
    1,023.06/1,534.29 = 364.83/x
  3. Step 3: Cross multiply
    1,023.06x = 1,534.29 × 364.83
  4. Step 4: Simplify right side
    1,023.06x = 559,755.02
  5. Step 5: Solve for x
    x = 559,755.02/1,023.06
  6. Step 6: Final answer
    x = 547.14

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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.