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Finding the Fourth Proportional to 1,210.75, 1,816.15 and 345.09

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Solution

The fourth proportional to 1,210.75, 1,816.15 and 345.09 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.75 : 1,816.15 = 345.09 : x
  2. Step 2: Convert to fraction form
    1,210.75/1,816.15 = 345.09/x
  3. Step 3: Cross multiply
    1,210.75x = 1,816.15 × 345.09
  4. Step 4: Simplify right side
    1,210.75x = 626,725.26
  5. Step 5: Solve for x
    x = 626,725.26/1,210.75
  6. Step 6: Final answer
    x = 517.63

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Double scale
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1.5x scale

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.