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Finding the Fourth Proportional to 751.93, 1,127.95 and 289.71

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Solution

The fourth proportional to 751.93, 1,127.95 and 289.71 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.93 : 1,127.95 = 289.71 : x
  2. Step 2: Convert to fraction form
    751.93/1,127.95 = 289.71/x
  3. Step 3: Cross multiply
    751.93x = 1,127.95 × 289.71
  4. Step 4: Simplify right side
    751.93x = 326,777.67
  5. Step 5: Solve for x
    x = 326,777.67/751.93
  6. Step 6: Final answer
    x = 434.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.