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Finding the Fourth Proportional to 1,059.25, 1,461.74 and 639.95

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Solution

The fourth proportional to 1,059.25, 1,461.74 and 639.95 is: 883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.25 : 1,461.74 = 639.95 : x
  2. Step 2: Convert to fraction form
    1,059.25/1,461.74 = 639.95/x
  3. Step 3: Cross multiply
    1,059.25x = 1,461.74 × 639.95
  4. Step 4: Simplify right side
    1,059.25x = 935,440.51
  5. Step 5: Solve for x
    x = 935,440.51/1,059.25
  6. Step 6: Final answer
    x = 883.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.