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Finding the Fourth Proportional to 1,153.15, 1,590.05 and 942.67

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Solution

The fourth proportional to 1,153.15, 1,590.05 and 942.67 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.15 : 1,590.05 = 942.67 : x
  2. Step 2: Convert to fraction form
    1,153.15/1,590.05 = 942.67/x
  3. Step 3: Cross multiply
    1,153.15x = 1,590.05 × 942.67
  4. Step 4: Simplify right side
    1,153.15x = 1,498,892.43
  5. Step 5: Solve for x
    x = 1,498,892.43/1,153.15
  6. Step 6: Final answer
    x = 1,299.82

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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.