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Finding the Fourth Proportional to 1,004.86, 1,386.56 and 562.78

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Solution

The fourth proportional to 1,004.86, 1,386.56 and 562.78 is: 776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.86 : 1,386.56 = 562.78 : x
  2. Step 2: Convert to fraction form
    1,004.86/1,386.56 = 562.78/x
  3. Step 3: Cross multiply
    1,004.86x = 1,386.56 × 562.78
  4. Step 4: Simplify right side
    1,004.86x = 780,318.49
  5. Step 5: Solve for x
    x = 780,318.49/1,004.86
  6. Step 6: Final answer
    x = 776.55

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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.