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Finding the Fourth Proportional to 1,004.93, 1,384.20 and 709.68

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Solution

The fourth proportional to 1,004.93, 1,384.20 and 709.68 is: 977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.93 : 1,384.20 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,004.93/1,384.20 = 709.68/x
  3. Step 3: Cross multiply
    1,004.93x = 1,384.20 × 709.68
  4. Step 4: Simplify right side
    1,004.93x = 982,339.06
  5. Step 5: Solve for x
    x = 982,339.06/1,004.93
  6. Step 6: Final answer
    x = 977.52

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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.