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Finding the Fourth Proportional to 900.16, 1,241.02 and 775.24

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Solution

The fourth proportional to 900.16, 1,241.02 and 775.24 is: 1,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.16 : 1,241.02 = 775.24 : x
  2. Step 2: Convert to fraction form
    900.16/1,241.02 = 775.24/x
  3. Step 3: Cross multiply
    900.16x = 1,241.02 × 775.24
  4. Step 4: Simplify right side
    900.16x = 962,088.34
  5. Step 5: Solve for x
    x = 962,088.34/900.16
  6. Step 6: Final answer
    x = 1,068.80

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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.