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Finding the Fourth Proportional to 1,430.91, 1,974.92 and 833.50

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Solution

The fourth proportional to 1,430.91, 1,974.92 and 833.50 is: 1,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.91 : 1,974.92 = 833.50 : x
  2. Step 2: Convert to fraction form
    1,430.91/1,974.92 = 833.50/x
  3. Step 3: Cross multiply
    1,430.91x = 1,974.92 × 833.50
  4. Step 4: Simplify right side
    1,430.91x = 1,646,094.12
  5. Step 5: Solve for x
    x = 1,646,094.12/1,430.91
  6. Step 6: Final answer
    x = 1,150.38

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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.