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Finding the Fourth Proportional to 1,210.34, 1,668.90 and 988.62

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Solution

The fourth proportional to 1,210.34, 1,668.90 and 988.62 is: 1,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.34 : 1,668.90 = 988.62 : x
  2. Step 2: Convert to fraction form
    1,210.34/1,668.90 = 988.62/x
  3. Step 3: Cross multiply
    1,210.34x = 1,668.90 × 988.62
  4. Step 4: Simplify right side
    1,210.34x = 1,649,907.92
  5. Step 5: Solve for x
    x = 1,649,907.92/1,210.34
  6. Step 6: Final answer
    x = 1,363.18

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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.