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Finding the Fourth Proportional to 804.93, 1,111.01 and 524.70

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Solution

The fourth proportional to 804.93, 1,111.01 and 524.70 is: 724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.93 : 1,111.01 = 524.70 : x
  2. Step 2: Convert to fraction form
    804.93/1,111.01 = 524.70/x
  3. Step 3: Cross multiply
    804.93x = 1,111.01 × 524.70
  4. Step 4: Simplify right side
    804.93x = 582,944.32
  5. Step 5: Solve for x
    x = 582,944.32/804.93
  6. Step 6: Final answer
    x = 724.22

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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.