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Finding the Fourth Proportional to 707.54, 1,059.14 and 524.48

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Solution

The fourth proportional to 707.54, 1,059.14 and 524.48 is: 785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.54 : 1,059.14 = 524.48 : x
  2. Step 2: Convert to fraction form
    707.54/1,059.14 = 524.48/x
  3. Step 3: Cross multiply
    707.54x = 1,059.14 × 524.48
  4. Step 4: Simplify right side
    707.54x = 555,493.76
  5. Step 5: Solve for x
    x = 555,493.76/707.54
  6. Step 6: Final answer
    x = 785.11

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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.