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Finding the Fourth Proportional to 1,135.23, 1,710.57 and 934.30

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Solution

The fourth proportional to 1,135.23, 1,710.57 and 934.30 is: 1,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.23 : 1,710.57 = 934.30 : x
  2. Step 2: Convert to fraction form
    1,135.23/1,710.57 = 934.30/x
  3. Step 3: Cross multiply
    1,135.23x = 1,710.57 × 934.30
  4. Step 4: Simplify right side
    1,135.23x = 1,598,180.88
  5. Step 5: Solve for x
    x = 1,598,180.88/1,135.23
  6. Step 6: Final answer
    x = 1,407.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.