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Finding the Fourth Proportional to 1,025.15, 1,412.84 and 741.48

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Solution

The fourth proportional to 1,025.15, 1,412.84 and 741.48 is: 1,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.15 : 1,412.84 = 741.48 : x
  2. Step 2: Convert to fraction form
    1,025.15/1,412.84 = 741.48/x
  3. Step 3: Cross multiply
    1,025.15x = 1,412.84 × 741.48
  4. Step 4: Simplify right side
    1,025.15x = 1,047,588.90
  5. Step 5: Solve for x
    x = 1,047,588.90/1,025.15
  6. Step 6: Final answer
    x = 1,021.89

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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.