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Finding the Fourth Proportional to 707.31, 1,059.84 and 524.25

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Solution

The fourth proportional to 707.31, 1,059.84 and 524.25 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.31 : 1,059.84 = 524.25 : x
  2. Step 2: Convert to fraction form
    707.31/1,059.84 = 524.25/x
  3. Step 3: Cross multiply
    707.31x = 1,059.84 × 524.25
  4. Step 4: Simplify right side
    707.31x = 555,621.12
  5. Step 5: Solve for x
    x = 555,621.12/707.31
  6. Step 6: Final answer
    x = 785.54

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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.