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Finding the Fourth Proportional to 1,130.85, 1,696.50 and 697.50

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Solution

The fourth proportional to 1,130.85, 1,696.50 and 697.50 is: 1,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.85 : 1,696.50 = 697.50 : x
  2. Step 2: Convert to fraction form
    1,130.85/1,696.50 = 697.50/x
  3. Step 3: Cross multiply
    1,130.85x = 1,696.50 × 697.50
  4. Step 4: Simplify right side
    1,130.85x = 1,183,308.75
  5. Step 5: Solve for x
    x = 1,183,308.75/1,130.85
  6. Step 6: Final answer
    x = 1,046.39

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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.