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Finding the Fourth Proportional to 1,210.78, 1,812.92 and 722.89

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Solution

The fourth proportional to 1,210.78, 1,812.92 and 722.89 is: 1,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.78 : 1,812.92 = 722.89 : x
  2. Step 2: Convert to fraction form
    1,210.78/1,812.92 = 722.89/x
  3. Step 3: Cross multiply
    1,210.78x = 1,812.92 × 722.89
  4. Step 4: Simplify right side
    1,210.78x = 1,310,532.67
  5. Step 5: Solve for x
    x = 1,310,532.67/1,210.78
  6. Step 6: Final answer
    x = 1,082.39

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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.