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Finding the Fourth Proportional to 1,064.02, 1,596.29 and 333.66

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Solution

The fourth proportional to 1,064.02, 1,596.29 and 333.66 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.02 : 1,596.29 = 333.66 : x
  2. Step 2: Convert to fraction form
    1,064.02/1,596.29 = 333.66/x
  3. Step 3: Cross multiply
    1,064.02x = 1,596.29 × 333.66
  4. Step 4: Simplify right side
    1,064.02x = 532,618.12
  5. Step 5: Solve for x
    x = 532,618.12/1,064.02
  6. Step 6: Final answer
    x = 500.57

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1.5x scale

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.