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Finding the Fourth Proportional to 1,291.47, 1,937.24 and 469.59

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Solution

The fourth proportional to 1,291.47, 1,937.24 and 469.59 is: 704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.47 : 1,937.24 = 469.59 : x
  2. Step 2: Convert to fraction form
    1,291.47/1,937.24 = 469.59/x
  3. Step 3: Cross multiply
    1,291.47x = 1,937.24 × 469.59
  4. Step 4: Simplify right side
    1,291.47x = 909,706.18
  5. Step 5: Solve for x
    x = 909,706.18/1,291.47
  6. Step 6: Final answer
    x = 704.40

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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.