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Finding the Fourth Proportional to 833.93, 1,151.16 and 502.64

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Solution

The fourth proportional to 833.93, 1,151.16 and 502.64 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.93 : 1,151.16 = 502.64 : x
  2. Step 2: Convert to fraction form
    833.93/1,151.16 = 502.64/x
  3. Step 3: Cross multiply
    833.93x = 1,151.16 × 502.64
  4. Step 4: Simplify right side
    833.93x = 578,619.06
  5. Step 5: Solve for x
    x = 578,619.06/833.93
  6. Step 6: Final answer
    x = 693.85

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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.