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Finding the Fourth Proportional to 1,094.13, 1,509.93 and 596.78

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Solution

The fourth proportional to 1,094.13, 1,509.93 and 596.78 is: 823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.13 : 1,509.93 = 596.78 : x
  2. Step 2: Convert to fraction form
    1,094.13/1,509.93 = 596.78/x
  3. Step 3: Cross multiply
    1,094.13x = 1,509.93 × 596.78
  4. Step 4: Simplify right side
    1,094.13x = 901,085.49
  5. Step 5: Solve for x
    x = 901,085.49/1,094.13
  6. Step 6: Final answer
    x = 823.57

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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.