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Finding the Fourth Proportional to 1,071.42, 1,478.04 and 721.50

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Solution

The fourth proportional to 1,071.42, 1,478.04 and 721.50 is: 995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.42 : 1,478.04 = 721.50 : x
  2. Step 2: Convert to fraction form
    1,071.42/1,478.04 = 721.50/x
  3. Step 3: Cross multiply
    1,071.42x = 1,478.04 × 721.50
  4. Step 4: Simplify right side
    1,071.42x = 1,066,405.86
  5. Step 5: Solve for x
    x = 1,066,405.86/1,071.42
  6. Step 6: Final answer
    x = 995.32

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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.