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Finding the Fourth Proportional to 792.66, 1,094.34 and 705.08

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Solution

The fourth proportional to 792.66, 1,094.34 and 705.08 is: 973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.66 : 1,094.34 = 705.08 : x
  2. Step 2: Convert to fraction form
    792.66/1,094.34 = 705.08/x
  3. Step 3: Cross multiply
    792.66x = 1,094.34 × 705.08
  4. Step 4: Simplify right side
    792.66x = 771,597.25
  5. Step 5: Solve for x
    x = 771,597.25/792.66
  6. Step 6: Final answer
    x = 973.43

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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.