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Finding the Fourth Proportional to 707.48, 1,061.94 and 475.64

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Solution

The fourth proportional to 707.48, 1,061.94 and 475.64 is: 713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 1,061.94 = 475.64 : x
  2. Step 2: Convert to fraction form
    707.48/1,061.94 = 475.64/x
  3. Step 3: Cross multiply
    707.48x = 1,061.94 × 475.64
  4. Step 4: Simplify right side
    707.48x = 505,101.14
  5. Step 5: Solve for x
    x = 505,101.14/707.48
  6. Step 6: Final answer
    x = 713.94

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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.