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Finding the Fourth Proportional to 1,004.89, 1,387.36 and 656.19

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Solution

The fourth proportional to 1,004.89, 1,387.36 and 656.19 is: 905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.89 : 1,387.36 = 656.19 : x
  2. Step 2: Convert to fraction form
    1,004.89/1,387.36 = 656.19/x
  3. Step 3: Cross multiply
    1,004.89x = 1,387.36 × 656.19
  4. Step 4: Simplify right side
    1,004.89x = 910,364.82
  5. Step 5: Solve for x
    x = 910,364.82/1,004.89
  6. Step 6: Final answer
    x = 905.93

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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.