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Finding the Fourth Proportional to 707.64, 1,061.39 and 245.34

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Solution

The fourth proportional to 707.64, 1,061.39 and 245.34 is: 367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 1,061.39 = 245.34 : x
  2. Step 2: Convert to fraction form
    707.64/1,061.39 = 245.34/x
  3. Step 3: Cross multiply
    707.64x = 1,061.39 × 245.34
  4. Step 4: Simplify right side
    707.64x = 260,400.20
  5. Step 5: Solve for x
    x = 260,400.20/707.64
  6. Step 6: Final answer
    x = 367.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.