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Finding the Fourth Proportional to 848.56, 1,272.84 and 807.10

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Solution

The fourth proportional to 848.56, 1,272.84 and 807.10 is: 1,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.56 : 1,272.84 = 807.10 : x
  2. Step 2: Convert to fraction form
    848.56/1,272.84 = 807.10/x
  3. Step 3: Cross multiply
    848.56x = 1,272.84 × 807.10
  4. Step 4: Simplify right side
    848.56x = 1,027,309.16
  5. Step 5: Solve for x
    x = 1,027,309.16/848.56
  6. Step 6: Final answer
    x = 1,210.65

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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.