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Finding the Fourth Proportional to 1,004.96, 1,386.84 and 562.88

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Solution

The fourth proportional to 1,004.96, 1,386.84 and 562.88 is: 776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.96 : 1,386.84 = 562.88 : x
  2. Step 2: Convert to fraction form
    1,004.96/1,386.84 = 562.88/x
  3. Step 3: Cross multiply
    1,004.96x = 1,386.84 × 562.88
  4. Step 4: Simplify right side
    1,004.96x = 780,624.50
  5. Step 5: Solve for x
    x = 780,624.50/1,004.96
  6. Step 6: Final answer
    x = 776.77

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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.