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Finding the Fourth Proportional to 1,160.71, 1,739.24 and 697.39

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Solution

The fourth proportional to 1,160.71, 1,739.24 and 697.39 is: 1,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.71 : 1,739.24 = 697.39 : x
  2. Step 2: Convert to fraction form
    1,160.71/1,739.24 = 697.39/x
  3. Step 3: Cross multiply
    1,160.71x = 1,739.24 × 697.39
  4. Step 4: Simplify right side
    1,160.71x = 1,212,916.40
  5. Step 5: Solve for x
    x = 1,212,916.40/1,160.71
  6. Step 6: Final answer
    x = 1,044.98

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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.