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Finding the Fourth Proportional to 707.03, 1,059.73 and 577.29

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Solution

The fourth proportional to 707.03, 1,059.73 and 577.29 is: 865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.03 : 1,059.73 = 577.29 : x
  2. Step 2: Convert to fraction form
    707.03/1,059.73 = 577.29/x
  3. Step 3: Cross multiply
    707.03x = 1,059.73 × 577.29
  4. Step 4: Simplify right side
    707.03x = 611,771.53
  5. Step 5: Solve for x
    x = 611,771.53/707.03
  6. Step 6: Final answer
    x = 865.27

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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.