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Finding the Fourth Proportional to 900.83, 1,350.20 and 407.13

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Solution

The fourth proportional to 900.83, 1,350.20 and 407.13 is: 610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.83 : 1,350.20 = 407.13 : x
  2. Step 2: Convert to fraction form
    900.83/1,350.20 = 407.13/x
  3. Step 3: Cross multiply
    900.83x = 1,350.20 × 407.13
  4. Step 4: Simplify right side
    900.83x = 549,706.93
  5. Step 5: Solve for x
    x = 549,706.93/900.83
  6. Step 6: Final answer
    x = 610.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.