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Finding the Fourth Proportional to 942, 1,413 and 840.48

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Solution

The fourth proportional to 942, 1,413 and 840.48 is: 1,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    942 : 1,413 = 840.48 : x
  2. Step 2: Convert to fraction form
    942/1,413 = 840.48/x
  3. Step 3: Cross multiply
    942x = 1,413 × 840.48
  4. Step 4: Simplify right side
    942x = 1,187,598.24
  5. Step 5: Solve for x
    x = 1,187,598.24/942
  6. Step 6: Final answer
    x = 1,260.72

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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.