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Finding the Fourth Proportional to 707.19, 1,059.42 and 432.45

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Solution

The fourth proportional to 707.19, 1,059.42 and 432.45 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.19 : 1,059.42 = 432.45 : x
  2. Step 2: Convert to fraction form
    707.19/1,059.42 = 432.45/x
  3. Step 3: Cross multiply
    707.19x = 1,059.42 × 432.45
  4. Step 4: Simplify right side
    707.19x = 458,146.18
  5. Step 5: Solve for x
    x = 458,146.18/707.19
  6. Step 6: Final answer
    x = 647.84

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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.