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Finding the Fourth Proportional to 707.10, 975.84 and 532.14

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Solution

The fourth proportional to 707.10, 975.84 and 532.14 is: 734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 975.84 = 532.14 : x
  2. Step 2: Convert to fraction form
    707.10/975.84 = 532.14/x
  3. Step 3: Cross multiply
    707.10x = 975.84 × 532.14
  4. Step 4: Simplify right side
    707.10x = 519,283.50
  5. Step 5: Solve for x
    x = 519,283.50/707.10
  6. Step 6: Final answer
    x = 734.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.