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Finding the Fourth Proportional to 1,054.82, 1,455.96 and 661.83

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Solution

The fourth proportional to 1,054.82, 1,455.96 and 661.83 is: 913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.82 : 1,455.96 = 661.83 : x
  2. Step 2: Convert to fraction form
    1,054.82/1,455.96 = 661.83/x
  3. Step 3: Cross multiply
    1,054.82x = 1,455.96 × 661.83
  4. Step 4: Simplify right side
    1,054.82x = 963,598.01
  5. Step 5: Solve for x
    x = 963,598.01/1,054.82
  6. Step 6: Final answer
    x = 913.52

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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.