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Finding the Fourth Proportional to 1,795.42, 2,693.13 and 562.93

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Solution

The fourth proportional to 1,795.42, 2,693.13 and 562.93 is: 844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.42 : 2,693.13 = 562.93 : x
  2. Step 2: Convert to fraction form
    1,795.42/2,693.13 = 562.93/x
  3. Step 3: Cross multiply
    1,795.42x = 2,693.13 × 562.93
  4. Step 4: Simplify right side
    1,795.42x = 1,516,027.39
  5. Step 5: Solve for x
    x = 1,516,027.39/1,795.42
  6. Step 6: Final answer
    x = 844.39

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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.