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Finding the Fourth Proportional to 707.14, 975.86 and 412.60

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Solution

The fourth proportional to 707.14, 975.86 and 412.60 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.14 : 975.86 = 412.60 : x
  2. Step 2: Convert to fraction form
    707.14/975.86 = 412.60/x
  3. Step 3: Cross multiply
    707.14x = 975.86 × 412.60
  4. Step 4: Simplify right side
    707.14x = 402,639.84
  5. Step 5: Solve for x
    x = 402,639.84/707.14
  6. Step 6: Final answer
    x = 569.39

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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.