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Finding the Fourth Proportional to 900.06, 1,240.93 and 584.77

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Solution

The fourth proportional to 900.06, 1,240.93 and 584.77 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.06 : 1,240.93 = 584.77 : x
  2. Step 2: Convert to fraction form
    900.06/1,240.93 = 584.77/x
  3. Step 3: Cross multiply
    900.06x = 1,240.93 × 584.77
  4. Step 4: Simplify right side
    900.06x = 725,658.64
  5. Step 5: Solve for x
    x = 725,658.64/900.06
  6. Step 6: Final answer
    x = 806.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.