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Finding the Fourth Proportional to 761.64, 1,051.06 and 412.33

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Solution

The fourth proportional to 761.64, 1,051.06 and 412.33 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,051.06 = 412.33 : x
  2. Step 2: Convert to fraction form
    761.64/1,051.06 = 412.33/x
  3. Step 3: Cross multiply
    761.64x = 1,051.06 × 412.33
  4. Step 4: Simplify right side
    761.64x = 433,383.57
  5. Step 5: Solve for x
    x = 433,383.57/761.64
  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.