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Finding the Fourth Proportional to 995.99, 1,494.75 and 476.16

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Solution

The fourth proportional to 995.99, 1,494.75 and 476.16 is: 714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.99 : 1,494.75 = 476.16 : x
  2. Step 2: Convert to fraction form
    995.99/1,494.75 = 476.16/x
  3. Step 3: Cross multiply
    995.99x = 1,494.75 × 476.16
  4. Step 4: Simplify right side
    995.99x = 711,740.16
  5. Step 5: Solve for x
    x = 711,740.16/995.99
  6. Step 6: Final answer
    x = 714.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.