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Finding the Fourth Proportional to 1,094.06, 1,509.81 and 596.70

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Solution

The fourth proportional to 1,094.06, 1,509.81 and 596.70 is: 823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.06 : 1,509.81 = 596.70 : x
  2. Step 2: Convert to fraction form
    1,094.06/1,509.81 = 596.70/x
  3. Step 3: Cross multiply
    1,094.06x = 1,509.81 × 596.70
  4. Step 4: Simplify right side
    1,094.06x = 900,899.46
  5. Step 5: Solve for x
    x = 900,899.46/1,094.06
  6. Step 6: Final answer
    x = 823.45

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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.