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Finding the Fourth Proportional to 1,065, 1,593.89 and 653.93

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Solution

The fourth proportional to 1,065, 1,593.89 and 653.93 is: 978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065 : 1,593.89 = 653.93 : x
  2. Step 2: Convert to fraction form
    1,065/1,593.89 = 653.93/x
  3. Step 3: Cross multiply
    1,065x = 1,593.89 × 653.93
  4. Step 4: Simplify right side
    1,065x = 1,042,281.25
  5. Step 5: Solve for x
    x = 1,042,281.25/1,065
  6. Step 6: Final answer
    x = 978.67

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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.