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Finding the Fourth Proportional to 707.50, 1,059.20 and 633.40

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Solution

The fourth proportional to 707.50, 1,059.20 and 633.40 is: 948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.50 : 1,059.20 = 633.40 : x
  2. Step 2: Convert to fraction form
    707.50/1,059.20 = 633.40/x
  3. Step 3: Cross multiply
    707.50x = 1,059.20 × 633.40
  4. Step 4: Simplify right side
    707.50x = 670,897.28
  5. Step 5: Solve for x
    x = 670,897.28/707.50
  6. Step 6: Final answer
    x = 948.26

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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.