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Finding the Fourth Proportional to 1,054.66, 1,455.42 and 588.91

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Solution

The fourth proportional to 1,054.66, 1,455.42 and 588.91 is: 812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.66 : 1,455.42 = 588.91 : x
  2. Step 2: Convert to fraction form
    1,054.66/1,455.42 = 588.91/x
  3. Step 3: Cross multiply
    1,054.66x = 1,455.42 × 588.91
  4. Step 4: Simplify right side
    1,054.66x = 857,111.39
  5. Step 5: Solve for x
    x = 857,111.39/1,054.66
  6. Step 6: Final answer
    x = 812.69

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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.