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Finding the Fourth Proportional to 1,065.04, 1,469.68 and 599.28

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Solution

The fourth proportional to 1,065.04, 1,469.68 and 599.28 is: 826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.04 : 1,469.68 = 599.28 : x
  2. Step 2: Convert to fraction form
    1,065.04/1,469.68 = 599.28/x
  3. Step 3: Cross multiply
    1,065.04x = 1,469.68 × 599.28
  4. Step 4: Simplify right side
    1,065.04x = 880,749.83
  5. Step 5: Solve for x
    x = 880,749.83/1,065.04
  6. Step 6: Final answer
    x = 826.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.