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Finding the Fourth Proportional to 1,065.10, 1,597.84 and 334.48

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Solution

The fourth proportional to 1,065.10, 1,597.84 and 334.48 is: 501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.10 : 1,597.84 = 334.48 : x
  2. Step 2: Convert to fraction form
    1,065.10/1,597.84 = 334.48/x
  3. Step 3: Cross multiply
    1,065.10x = 1,597.84 × 334.48
  4. Step 4: Simplify right side
    1,065.10x = 534,437.53
  5. Step 5: Solve for x
    x = 534,437.53/1,065.10
  6. Step 6: Final answer
    x = 501.77

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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.