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Finding the Fourth Proportional to 707.12, 975.87 and 427.34

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Solution

The fourth proportional to 707.12, 975.87 and 427.34 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.12 : 975.87 = 427.34 : x
  2. Step 2: Convert to fraction form
    707.12/975.87 = 427.34/x
  3. Step 3: Cross multiply
    707.12x = 975.87 × 427.34
  4. Step 4: Simplify right side
    707.12x = 417,030.73
  5. Step 5: Solve for x
    x = 417,030.73/707.12
  6. Step 6: Final answer
    x = 589.76

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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.