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Finding the Fourth Proportional to 1,064.32, 1,596.47 and 333.95

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Solution

The fourth proportional to 1,064.32, 1,596.47 and 333.95 is: 500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.32 : 1,596.47 = 333.95 : x
  2. Step 2: Convert to fraction form
    1,064.32/1,596.47 = 333.95/x
  3. Step 3: Cross multiply
    1,064.32x = 1,596.47 × 333.95
  4. Step 4: Simplify right side
    1,064.32x = 533,145.98
  5. Step 5: Solve for x
    x = 533,145.98/1,064.32
  6. Step 6: Final answer
    x = 500.93

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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.