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Finding the Fourth Proportional to 734.93, 1,102.61 and 410.52

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Solution

The fourth proportional to 734.93, 1,102.61 and 410.52 is: 615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.93 : 1,102.61 = 410.52 : x
  2. Step 2: Convert to fraction form
    734.93/1,102.61 = 410.52/x
  3. Step 3: Cross multiply
    734.93x = 1,102.61 × 410.52
  4. Step 4: Simplify right side
    734.93x = 452,643.46
  5. Step 5: Solve for x
    x = 452,643.46/734.93
  6. Step 6: Final answer
    x = 615.90

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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.