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Finding the Fourth Proportional to 1,065.02, 1,597.71 and 334.54

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Solution

The fourth proportional to 1,065.02, 1,597.71 and 334.54 is: 501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.02 : 1,597.71 = 334.54 : x
  2. Step 2: Convert to fraction form
    1,065.02/1,597.71 = 334.54/x
  3. Step 3: Cross multiply
    1,065.02x = 1,597.71 × 334.54
  4. Step 4: Simplify right side
    1,065.02x = 534,489.91
  5. Step 5: Solve for x
    x = 534,489.91/1,065.02
  6. Step 6: Final answer
    x = 501.86

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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.