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Finding the Fourth Proportional to 942.48, 1,411.56 and 910.08

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Solution

The fourth proportional to 942.48, 1,411.56 and 910.08 is: 1,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.48 : 1,411.56 = 910.08 : x
  2. Step 2: Convert to fraction form
    942.48/1,411.56 = 910.08/x
  3. Step 3: Cross multiply
    942.48x = 1,411.56 × 910.08
  4. Step 4: Simplify right side
    942.48x = 1,284,632.52
  5. Step 5: Solve for x
    x = 1,284,632.52/942.48
  6. Step 6: Final answer
    x = 1,363.03

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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.