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Finding the Fourth Proportional to 1,064.53, 1,596.86 and 334.13

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Solution

The fourth proportional to 1,064.53, 1,596.86 and 334.13 is: 501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.53 : 1,596.86 = 334.13 : x
  2. Step 2: Convert to fraction form
    1,064.53/1,596.86 = 334.13/x
  3. Step 3: Cross multiply
    1,064.53x = 1,596.86 × 334.13
  4. Step 4: Simplify right side
    1,064.53x = 533,558.47
  5. Step 5: Solve for x
    x = 533,558.47/1,064.53
  6. Step 6: Final answer
    x = 501.22

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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.