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Finding the Fourth Proportional to 1,064.39, 1,596.65 and 333.99

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Solution

The fourth proportional to 1,064.39, 1,596.65 and 333.99 is: 501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 1,596.65 = 333.99 : x
  2. Step 2: Convert to fraction form
    1,064.39/1,596.65 = 333.99/x
  3. Step 3: Cross multiply
    1,064.39x = 1,596.65 × 333.99
  4. Step 4: Simplify right side
    1,064.39x = 533,263.46
  5. Step 5: Solve for x
    x = 533,263.46/1,064.39
  6. Step 6: Final answer
    x = 501.01

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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.