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Finding the Fourth Proportional to 1,006.14, 1,506.77 and 697.13

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Solution

The fourth proportional to 1,006.14, 1,506.77 and 697.13 is: 1,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,506.77 = 697.13 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,506.77 = 697.13/x
  3. Step 3: Cross multiply
    1,006.14x = 1,506.77 × 697.13
  4. Step 4: Simplify right side
    1,006.14x = 1,050,403.55
  5. Step 5: Solve for x
    x = 1,050,403.55/1,006.14
  6. Step 6: Final answer
    x = 1,043.99

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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.