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Finding the Fourth Proportional to 833.96, 1,150.74 and 502.40

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Solution

The fourth proportional to 833.96, 1,150.74 and 502.40 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.96 : 1,150.74 = 502.40 : x
  2. Step 2: Convert to fraction form
    833.96/1,150.74 = 502.40/x
  3. Step 3: Cross multiply
    833.96x = 1,150.74 × 502.40
  4. Step 4: Simplify right side
    833.96x = 578,134.65
  5. Step 5: Solve for x
    x = 578,134.65/833.96
  6. Step 6: Final answer
    x = 693.24

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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.