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Finding the Fourth Proportional to 1,005.77, 1,387.95 and 563.67

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Solution

The fourth proportional to 1,005.77, 1,387.95 and 563.67 is: 777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.77 : 1,387.95 = 563.67 : x
  2. Step 2: Convert to fraction form
    1,005.77/1,387.95 = 563.67/x
  3. Step 3: Cross multiply
    1,005.77x = 1,387.95 × 563.67
  4. Step 4: Simplify right side
    1,005.77x = 782,342.96
  5. Step 5: Solve for x
    x = 782,342.96/1,005.77
  6. Step 6: Final answer
    x = 777.85

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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.