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Finding the Fourth Proportional to 1,210.94, 1,670.53 and 762.61

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Solution

The fourth proportional to 1,210.94, 1,670.53 and 762.61 is: 1,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.94 : 1,670.53 = 762.61 : x
  2. Step 2: Convert to fraction form
    1,210.94/1,670.53 = 762.61/x
  3. Step 3: Cross multiply
    1,210.94x = 1,670.53 × 762.61
  4. Step 4: Simplify right side
    1,210.94x = 1,273,956.80
  5. Step 5: Solve for x
    x = 1,273,956.80/1,210.94
  6. Step 6: Final answer
    x = 1,052.04

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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.