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Finding the Fourth Proportional to 1,410.70, 2,116.03 and 436.80

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Solution

The fourth proportional to 1,410.70, 2,116.03 and 436.80 is: 655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.70 : 2,116.03 = 436.80 : x
  2. Step 2: Convert to fraction form
    1,410.70/2,116.03 = 436.80/x
  3. Step 3: Cross multiply
    1,410.70x = 2,116.03 × 436.80
  4. Step 4: Simplify right side
    1,410.70x = 924,281.90
  5. Step 5: Solve for x
    x = 924,281.90/1,410.70
  6. Step 6: Final answer
    x = 655.19

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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.