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Finding the Fourth Proportional to 945.61, 1,416.60 and 792.52

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Solution

The fourth proportional to 945.61, 1,416.60 and 792.52 is: 1,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.61 : 1,416.60 = 792.52 : x
  2. Step 2: Convert to fraction form
    945.61/1,416.60 = 792.52/x
  3. Step 3: Cross multiply
    945.61x = 1,416.60 × 792.52
  4. Step 4: Simplify right side
    945.61x = 1,122,683.83
  5. Step 5: Solve for x
    x = 1,122,683.83/945.61
  6. Step 6: Final answer
    x = 1,187.26

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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.