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Finding the Fourth Proportional to 1,164.99, 1,607.07 and 833.91

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Solution

The fourth proportional to 1,164.99, 1,607.07 and 833.91 is: 1,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.99 : 1,607.07 = 833.91 : x
  2. Step 2: Convert to fraction form
    1,164.99/1,607.07 = 833.91/x
  3. Step 3: Cross multiply
    1,164.99x = 1,607.07 × 833.91
  4. Step 4: Simplify right side
    1,164.99x = 1,340,151.74
  5. Step 5: Solve for x
    x = 1,340,151.74/1,164.99
  6. Step 6: Final answer
    x = 1,150.35

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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.