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Finding the Fourth Proportional to 700.38, 967.14 and 536.22

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Solution

The fourth proportional to 700.38, 967.14 and 536.22 is: 740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 967.14 = 536.22 : x
  2. Step 2: Convert to fraction form
    700.38/967.14 = 536.22/x
  3. Step 3: Cross multiply
    700.38x = 967.14 × 536.22
  4. Step 4: Simplify right side
    700.38x = 518,599.81
  5. Step 5: Solve for x
    x = 518,599.81/700.38
  6. Step 6: Final answer
    x = 740.45

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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.