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Finding the Fourth Proportional to 707.09, 975.77 and 412.34

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Solution

The fourth proportional to 707.09, 975.77 and 412.34 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 975.77 = 412.34 : x
  2. Step 2: Convert to fraction form
    707.09/975.77 = 412.34/x
  3. Step 3: Cross multiply
    707.09x = 975.77 × 412.34
  4. Step 4: Simplify right side
    707.09x = 402,342.06
  5. Step 5: Solve for x
    x = 402,342.06/707.09
  6. Step 6: Final answer
    x = 569.01

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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.