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Finding the Fourth Proportional to 1,160.11, 1,737.84 and 697.63

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Solution

The fourth proportional to 1,160.11, 1,737.84 and 697.63 is: 1,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.11 : 1,737.84 = 697.63 : x
  2. Step 2: Convert to fraction form
    1,160.11/1,737.84 = 697.63/x
  3. Step 3: Cross multiply
    1,160.11x = 1,737.84 × 697.63
  4. Step 4: Simplify right side
    1,160.11x = 1,212,368.45
  5. Step 5: Solve for x
    x = 1,212,368.45/1,160.11
  6. Step 6: Final answer
    x = 1,045.05

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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.