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Finding the Fourth Proportional to 853.07, 1,176.94 and 498.93

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Solution

The fourth proportional to 853.07, 1,176.94 and 498.93 is: 688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.07 : 1,176.94 = 498.93 : x
  2. Step 2: Convert to fraction form
    853.07/1,176.94 = 498.93/x
  3. Step 3: Cross multiply
    853.07x = 1,176.94 × 498.93
  4. Step 4: Simplify right side
    853.07x = 587,209.43
  5. Step 5: Solve for x
    x = 587,209.43/853.07
  6. Step 6: Final answer
    x = 688.35

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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.