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Finding the Fourth Proportional to 1,047.63, 1,445.78 and 605.54

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Solution

The fourth proportional to 1,047.63, 1,445.78 and 605.54 is: 835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.63 : 1,445.78 = 605.54 : x
  2. Step 2: Convert to fraction form
    1,047.63/1,445.78 = 605.54/x
  3. Step 3: Cross multiply
    1,047.63x = 1,445.78 × 605.54
  4. Step 4: Simplify right side
    1,047.63x = 875,482.75
  5. Step 5: Solve for x
    x = 875,482.75/1,047.63
  6. Step 6: Final answer
    x = 835.68

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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.