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Finding the Fourth Proportional to 1,735.18, 2,602.68 and 639.46

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Solution

The fourth proportional to 1,735.18, 2,602.68 and 639.46 is: 959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.18 : 2,602.68 = 639.46 : x
  2. Step 2: Convert to fraction form
    1,735.18/2,602.68 = 639.46/x
  3. Step 3: Cross multiply
    1,735.18x = 2,602.68 × 639.46
  4. Step 4: Simplify right side
    1,735.18x = 1,664,303.23
  5. Step 5: Solve for x
    x = 1,664,303.23/1,735.18
  6. Step 6: Final answer
    x = 959.15

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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.