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Finding the Fourth Proportional to 1,065.19, 1,598.06 and 334.78

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Solution

The fourth proportional to 1,065.19, 1,598.06 and 334.78 is: 502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.19 : 1,598.06 = 334.78 : x
  2. Step 2: Convert to fraction form
    1,065.19/1,598.06 = 334.78/x
  3. Step 3: Cross multiply
    1,065.19x = 1,598.06 × 334.78
  4. Step 4: Simplify right side
    1,065.19x = 534,998.53
  5. Step 5: Solve for x
    x = 534,998.53/1,065.19
  6. Step 6: Final answer
    x = 502.26

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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.