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Finding the Fourth Proportional to 1,147.86, 1,582.77 and 898.38

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Solution

The fourth proportional to 1,147.86, 1,582.77 and 898.38 is: 1,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.86 : 1,582.77 = 898.38 : x
  2. Step 2: Convert to fraction form
    1,147.86/1,582.77 = 898.38/x
  3. Step 3: Cross multiply
    1,147.86x = 1,582.77 × 898.38
  4. Step 4: Simplify right side
    1,147.86x = 1,421,928.91
  5. Step 5: Solve for x
    x = 1,421,928.91/1,147.86
  6. Step 6: Final answer
    x = 1,238.77

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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.