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Finding the Fourth Proportional to 1,064.84, 1,597.11 and 334.19

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Solution

The fourth proportional to 1,064.84, 1,597.11 and 334.19 is: 501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.84 : 1,597.11 = 334.19 : x
  2. Step 2: Convert to fraction form
    1,064.84/1,597.11 = 334.19/x
  3. Step 3: Cross multiply
    1,064.84x = 1,597.11 × 334.19
  4. Step 4: Simplify right side
    1,064.84x = 533,736.82
  5. Step 5: Solve for x
    x = 533,736.82/1,064.84
  6. Step 6: Final answer
    x = 501.24

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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.