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Finding the Fourth Proportional to 1,004.86, 1,386.67 and 562.75

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Solution

The fourth proportional to 1,004.86, 1,386.67 and 562.75 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.86 : 1,386.67 = 562.75 : x
  2. Step 2: Convert to fraction form
    1,004.86/1,386.67 = 562.75/x
  3. Step 3: Cross multiply
    1,004.86x = 1,386.67 × 562.75
  4. Step 4: Simplify right side
    1,004.86x = 780,344.72
  5. Step 5: Solve for x
    x = 780,344.72/1,004.86
  6. Step 6: Final answer
    x = 776.57

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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.