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Finding the Fourth Proportional to 1,090.19, 1,632.56 and 651.17

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Solution

The fourth proportional to 1,090.19, 1,632.56 and 651.17 is: 975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,632.56 = 651.17 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,632.56 = 651.17/x
  3. Step 3: Cross multiply
    1,090.19x = 1,632.56 × 651.17
  4. Step 4: Simplify right side
    1,090.19x = 1,063,074.92
  5. Step 5: Solve for x
    x = 1,063,074.92/1,090.19
  6. Step 6: Final answer
    x = 975.13

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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.