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Finding the Fourth Proportional to 1,291.66, 1,937.51 and 469.42

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Solution

The fourth proportional to 1,291.66, 1,937.51 and 469.42 is: 704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.66 : 1,937.51 = 469.42 : x
  2. Step 2: Convert to fraction form
    1,291.66/1,937.51 = 469.42/x
  3. Step 3: Cross multiply
    1,291.66x = 1,937.51 × 469.42
  4. Step 4: Simplify right side
    1,291.66x = 909,505.94
  5. Step 5: Solve for x
    x = 909,505.94/1,291.66
  6. Step 6: Final answer
    x = 704.14

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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.