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Finding the Fourth Proportional to 1,129.68, 1,695.60 and 697.68

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Solution

The fourth proportional to 1,129.68, 1,695.60 and 697.68 is: 1,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.68 : 1,695.60 = 697.68 : x
  2. Step 2: Convert to fraction form
    1,129.68/1,695.60 = 697.68/x
  3. Step 3: Cross multiply
    1,129.68x = 1,695.60 × 697.68
  4. Step 4: Simplify right side
    1,129.68x = 1,182,986.21
  5. Step 5: Solve for x
    x = 1,182,986.21/1,129.68
  6. Step 6: Final answer
    x = 1,047.19

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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.