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Finding the Fourth Proportional to 1,482.91, 2,046.36 and 810.70

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Solution

The fourth proportional to 1,482.91, 2,046.36 and 810.70 is: 1,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.91 : 2,046.36 = 810.70 : x
  2. Step 2: Convert to fraction form
    1,482.91/2,046.36 = 810.70/x
  3. Step 3: Cross multiply
    1,482.91x = 2,046.36 × 810.70
  4. Step 4: Simplify right side
    1,482.91x = 1,658,989.52
  5. Step 5: Solve for x
    x = 1,658,989.52/1,482.91
  6. Step 6: Final answer
    x = 1,118.74

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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.