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Finding the Fourth Proportional to 1,155.48, 1,593.63 and 735.70

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Solution

The fourth proportional to 1,155.48, 1,593.63 and 735.70 is: 1,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.48 : 1,593.63 = 735.70 : x
  2. Step 2: Convert to fraction form
    1,155.48/1,593.63 = 735.70/x
  3. Step 3: Cross multiply
    1,155.48x = 1,593.63 × 735.70
  4. Step 4: Simplify right side
    1,155.48x = 1,172,434.66
  5. Step 5: Solve for x
    x = 1,172,434.66/1,155.48
  6. Step 6: Final answer
    x = 1,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.