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Finding the Fourth Proportional to 1,004.75, 1,386.69 and 562.68

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Solution

The fourth proportional to 1,004.75, 1,386.69 and 562.68 is: 776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.75 : 1,386.69 = 562.68 : x
  2. Step 2: Convert to fraction form
    1,004.75/1,386.69 = 562.68/x
  3. Step 3: Cross multiply
    1,004.75x = 1,386.69 × 562.68
  4. Step 4: Simplify right side
    1,004.75x = 780,262.73
  5. Step 5: Solve for x
    x = 780,262.73/1,004.75
  6. Step 6: Final answer
    x = 776.58

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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.