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Finding the Fourth Proportional to 1,065.40, 1,598.08 and 334.96

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Solution

The fourth proportional to 1,065.40, 1,598.08 and 334.96 is: 502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.40 : 1,598.08 = 334.96 : x
  2. Step 2: Convert to fraction form
    1,065.40/1,598.08 = 334.96/x
  3. Step 3: Cross multiply
    1,065.40x = 1,598.08 × 334.96
  4. Step 4: Simplify right side
    1,065.40x = 535,292.88
  5. Step 5: Solve for x
    x = 535,292.88/1,065.40
  6. Step 6: Final answer
    x = 502.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.