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Finding the Fourth Proportional to 1,004.73, 1,386.56 and 631.73

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Solution

The fourth proportional to 1,004.73, 1,386.56 and 631.73 is: 871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.73 : 1,386.56 = 631.73 : x
  2. Step 2: Convert to fraction form
    1,004.73/1,386.56 = 631.73/x
  3. Step 3: Cross multiply
    1,004.73x = 1,386.56 × 631.73
  4. Step 4: Simplify right side
    1,004.73x = 875,931.55
  5. Step 5: Solve for x
    x = 875,931.55/1,004.73
  6. Step 6: Final answer
    x = 871.81

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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.