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Finding the Fourth Proportional to 1,065.12, 1,597.96 and 407.28

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Solution

The fourth proportional to 1,065.12, 1,597.96 and 407.28 is: 611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.12 : 1,597.96 = 407.28 : x
  2. Step 2: Convert to fraction form
    1,065.12/1,597.96 = 407.28/x
  3. Step 3: Cross multiply
    1,065.12x = 1,597.96 × 407.28
  4. Step 4: Simplify right side
    1,065.12x = 650,817.15
  5. Step 5: Solve for x
    x = 650,817.15/1,065.12
  6. Step 6: Final answer
    x = 611.03

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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.