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Finding the Fourth Proportional to 1,157.93, 1,737.38 and 465.09

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Solution

The fourth proportional to 1,157.93, 1,737.38 and 465.09 is: 697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.93 : 1,737.38 = 465.09 : x
  2. Step 2: Convert to fraction form
    1,157.93/1,737.38 = 465.09/x
  3. Step 3: Cross multiply
    1,157.93x = 1,737.38 × 465.09
  4. Step 4: Simplify right side
    1,157.93x = 808,038.06
  5. Step 5: Solve for x
    x = 808,038.06/1,157.93
  6. Step 6: Final answer
    x = 697.83

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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.