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Finding the Fourth Proportional to 714.15, 1,071.63 and 509.22

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Solution

The fourth proportional to 714.15, 1,071.63 and 509.22 is: 764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 1,071.63 = 509.22 : x
  2. Step 2: Convert to fraction form
    714.15/1,071.63 = 509.22/x
  3. Step 3: Cross multiply
    714.15x = 1,071.63 × 509.22
  4. Step 4: Simplify right side
    714.15x = 545,695.43
  5. Step 5: Solve for x
    x = 545,695.43/714.15
  6. Step 6: Final answer
    x = 764.12

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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.