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Finding the Fourth Proportional to 1,014.15, 1,521.60 and 356.08

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Solution

The fourth proportional to 1,014.15, 1,521.60 and 356.08 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.15 : 1,521.60 = 356.08 : x
  2. Step 2: Convert to fraction form
    1,014.15/1,521.60 = 356.08/x
  3. Step 3: Cross multiply
    1,014.15x = 1,521.60 × 356.08
  4. Step 4: Simplify right side
    1,014.15x = 541,811.33
  5. Step 5: Solve for x
    x = 541,811.33/1,014.15
  6. Step 6: Final answer
    x = 534.25

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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.