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Finding the Fourth Proportional to 761.63, 1,051.75 and 612.27

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Solution

The fourth proportional to 761.63, 1,051.75 and 612.27 is: 845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.63 : 1,051.75 = 612.27 : x
  2. Step 2: Convert to fraction form
    761.63/1,051.75 = 612.27/x
  3. Step 3: Cross multiply
    761.63x = 1,051.75 × 612.27
  4. Step 4: Simplify right side
    761.63x = 643,957.48
  5. Step 5: Solve for x
    x = 643,957.48/761.63
  6. Step 6: Final answer
    x = 845.50

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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.