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Finding the Fourth Proportional to 1,135.90, 1,704.08 and 355.87

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Solution

The fourth proportional to 1,135.90, 1,704.08 and 355.87 is: 533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.90 : 1,704.08 = 355.87 : x
  2. Step 2: Convert to fraction form
    1,135.90/1,704.08 = 355.87/x
  3. Step 3: Cross multiply
    1,135.90x = 1,704.08 × 355.87
  4. Step 4: Simplify right side
    1,135.90x = 606,430.95
  5. Step 5: Solve for x
    x = 606,430.95/1,135.90
  6. Step 6: Final answer
    x = 533.88

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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.