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Finding the Fourth Proportional to 1,065.69, 1,598.27 and 372.25

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Solution

The fourth proportional to 1,065.69, 1,598.27 and 372.25 is: 558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,598.27 = 372.25 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,598.27 = 372.25/x
  3. Step 3: Cross multiply
    1,065.69x = 1,598.27 × 372.25
  4. Step 4: Simplify right side
    1,065.69x = 594,956.01
  5. Step 5: Solve for x
    x = 594,956.01/1,065.69
  6. Step 6: Final answer
    x = 558.28

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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.