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Finding the Fourth Proportional to 841.10, 1,258.95 and 450.13

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Solution

The fourth proportional to 841.10, 1,258.95 and 450.13 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.10 : 1,258.95 = 450.13 : x
  2. Step 2: Convert to fraction form
    841.10/1,258.95 = 450.13/x
  3. Step 3: Cross multiply
    841.10x = 1,258.95 × 450.13
  4. Step 4: Simplify right side
    841.10x = 566,684.87
  5. Step 5: Solve for x
    x = 566,684.87/841.10
  6. Step 6: Final answer
    x = 673.74

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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.