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Finding the Fourth Proportional to 1,210.75, 1,816.12 and 345.06

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Solution

The fourth proportional to 1,210.75, 1,816.12 and 345.06 is: 517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.75 : 1,816.12 = 345.06 : x
  2. Step 2: Convert to fraction form
    1,210.75/1,816.12 = 345.06/x
  3. Step 3: Cross multiply
    1,210.75x = 1,816.12 × 345.06
  4. Step 4: Simplify right side
    1,210.75x = 626,670.80
  5. Step 5: Solve for x
    x = 626,670.80/1,210.75
  6. Step 6: Final answer
    x = 517.59

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Double scale
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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.