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Finding the Fourth Proportional to 945.48, 1,416.95 and 425.37

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Solution

The fourth proportional to 945.48, 1,416.95 and 425.37 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.48 : 1,416.95 = 425.37 : x
  2. Step 2: Convert to fraction form
    945.48/1,416.95 = 425.37/x
  3. Step 3: Cross multiply
    945.48x = 1,416.95 × 425.37
  4. Step 4: Simplify right side
    945.48x = 602,728.02
  5. Step 5: Solve for x
    x = 602,728.02/945.48
  6. Step 6: Final answer
    x = 637.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.