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Finding the Fourth Proportional to 1,291.64, 1,937.40 and 458.69

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Solution

The fourth proportional to 1,291.64, 1,937.40 and 458.69 is: 688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.64 : 1,937.40 = 458.69 : x
  2. Step 2: Convert to fraction form
    1,291.64/1,937.40 = 458.69/x
  3. Step 3: Cross multiply
    1,291.64x = 1,937.40 × 458.69
  4. Step 4: Simplify right side
    1,291.64x = 888,656.32
  5. Step 5: Solve for x
    x = 888,656.32/1,291.64
  6. Step 6: Final answer
    x = 688.01

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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.