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Finding the Fourth Proportional to 761.84, 1,051.34 and 412.53

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Solution

The fourth proportional to 761.84, 1,051.34 and 412.53 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.84 : 1,051.34 = 412.53 : x
  2. Step 2: Convert to fraction form
    761.84/1,051.34 = 412.53/x
  3. Step 3: Cross multiply
    761.84x = 1,051.34 × 412.53
  4. Step 4: Simplify right side
    761.84x = 433,701.97
  5. Step 5: Solve for x
    x = 433,701.97/761.84
  6. Step 6: Final answer
    x = 569.28

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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.