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Finding the Fourth Proportional to 761.94, 1,051.65 and 500.31

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Solution

The fourth proportional to 761.94, 1,051.65 and 500.31 is: 690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.94 : 1,051.65 = 500.31 : x
  2. Step 2: Convert to fraction form
    761.94/1,051.65 = 500.31/x
  3. Step 3: Cross multiply
    761.94x = 1,051.65 × 500.31
  4. Step 4: Simplify right side
    761.94x = 526,151.01
  5. Step 5: Solve for x
    x = 526,151.01/761.94
  6. Step 6: Final answer
    x = 690.54

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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.