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Finding the Fourth Proportional to 1,094.95, 1,643.14 and 517.51

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Solution

The fourth proportional to 1,094.95, 1,643.14 and 517.51 is: 776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.95 : 1,643.14 = 517.51 : x
  2. Step 2: Convert to fraction form
    1,094.95/1,643.14 = 517.51/x
  3. Step 3: Cross multiply
    1,094.95x = 1,643.14 × 517.51
  4. Step 4: Simplify right side
    1,094.95x = 850,337.92
  5. Step 5: Solve for x
    x = 850,337.92/1,094.95
  6. Step 6: Final answer
    x = 776.60

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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.