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Finding the Fourth Proportional to 900.66, 1,350 and 553.02

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Solution

The fourth proportional to 900.66, 1,350 and 553.02 is: 828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.66 : 1,350 = 553.02 : x
  2. Step 2: Convert to fraction form
    900.66/1,350 = 553.02/x
  3. Step 3: Cross multiply
    900.66x = 1,350 × 553.02
  4. Step 4: Simplify right side
    900.66x = 746,577
  5. Step 5: Solve for x
    x = 746,577/900.66
  6. Step 6: Final answer
    x = 828.92

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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.