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Finding the Fourth Proportional to 848.01, 1,272.48 and 458.00

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Solution

The fourth proportional to 848.01, 1,272.48 and 458.00 is: 687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.01 : 1,272.48 = 458.00 : x
  2. Step 2: Convert to fraction form
    848.01/1,272.48 = 458.00/x
  3. Step 3: Cross multiply
    848.01x = 1,272.48 × 458.00
  4. Step 4: Simplify right side
    848.01x = 582,792.66
  5. Step 5: Solve for x
    x = 582,792.66/848.01
  6. Step 6: Final answer
    x = 687.25

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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.