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Finding the Fourth Proportional to 707.83, 1,060.32 and 399.22

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Solution

The fourth proportional to 707.83, 1,060.32 and 399.22 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.83 : 1,060.32 = 399.22 : x
  2. Step 2: Convert to fraction form
    707.83/1,060.32 = 399.22/x
  3. Step 3: Cross multiply
    707.83x = 1,060.32 × 399.22
  4. Step 4: Simplify right side
    707.83x = 423,300.95
  5. Step 5: Solve for x
    x = 423,300.95/707.83
  6. Step 6: Final answer
    x = 598.03

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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.