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Finding the Fourth Proportional to 848.66, 1,272.76 and 437.53

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Solution

The fourth proportional to 848.66, 1,272.76 and 437.53 is: 656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.66 : 1,272.76 = 437.53 : x
  2. Step 2: Convert to fraction form
    848.66/1,272.76 = 437.53/x
  3. Step 3: Cross multiply
    848.66x = 1,272.76 × 437.53
  4. Step 4: Simplify right side
    848.66x = 556,870.68
  5. Step 5: Solve for x
    x = 556,870.68/848.66
  6. Step 6: Final answer
    x = 656.18

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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.