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Finding the Fourth Proportional to 1,054.69, 1,455.94 and 661.94

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Solution

The fourth proportional to 1,054.69, 1,455.94 and 661.94 is: 913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,455.94 = 661.94 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,455.94 = 661.94/x
  3. Step 3: Cross multiply
    1,054.69x = 1,455.94 × 661.94
  4. Step 4: Simplify right side
    1,054.69x = 963,743.93
  5. Step 5: Solve for x
    x = 963,743.93/1,054.69
  6. Step 6: Final answer
    x = 913.77

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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.