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Finding the Fourth Proportional to 1,068.77, 1,601.88 and 698.76

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Solution

The fourth proportional to 1,068.77, 1,601.88 and 698.76 is: 1,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.77 : 1,601.88 = 698.76 : x
  2. Step 2: Convert to fraction form
    1,068.77/1,601.88 = 698.76/x
  3. Step 3: Cross multiply
    1,068.77x = 1,601.88 × 698.76
  4. Step 4: Simplify right side
    1,068.77x = 1,119,329.67
  5. Step 5: Solve for x
    x = 1,119,329.67/1,068.77
  6. Step 6: Final answer
    x = 1,047.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.