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Finding the Fourth Proportional to 700.93, 967.40 and 534.83

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Solution

The fourth proportional to 700.93, 967.40 and 534.83 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.93 : 967.40 = 534.83 : x
  2. Step 2: Convert to fraction form
    700.93/967.40 = 534.83/x
  3. Step 3: Cross multiply
    700.93x = 967.40 × 534.83
  4. Step 4: Simplify right side
    700.93x = 517,394.54
  5. Step 5: Solve for x
    x = 517,394.54/700.93
  6. Step 6: Final answer
    x = 738.15

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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.