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Finding the Fourth Proportional to 1,054.58, 1,455.84 and 661.82

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Solution

The fourth proportional to 1,054.58, 1,455.84 and 661.82 is: 913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.58 : 1,455.84 = 661.82 : x
  2. Step 2: Convert to fraction form
    1,054.58/1,455.84 = 661.82/x
  3. Step 3: Cross multiply
    1,054.58x = 1,455.84 × 661.82
  4. Step 4: Simplify right side
    1,054.58x = 963,504.03
  5. Step 5: Solve for x
    x = 963,504.03/1,054.58
  6. Step 6: Final answer
    x = 913.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.