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Finding the Fourth Proportional to 1,298.65, 1,792.14 and 709.18

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Solution

The fourth proportional to 1,298.65, 1,792.14 and 709.18 is: 978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.65 : 1,792.14 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,298.65/1,792.14 = 709.18/x
  3. Step 3: Cross multiply
    1,298.65x = 1,792.14 × 709.18
  4. Step 4: Simplify right side
    1,298.65x = 1,270,949.85
  5. Step 5: Solve for x
    x = 1,270,949.85/1,298.65
  6. Step 6: Final answer
    x = 978.67

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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.