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Finding the Fourth Proportional to 945.30, 1,416.56 and 457.77

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Solution

The fourth proportional to 945.30, 1,416.56 and 457.77 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.30 : 1,416.56 = 457.77 : x
  2. Step 2: Convert to fraction form
    945.30/1,416.56 = 457.77/x
  3. Step 3: Cross multiply
    945.30x = 1,416.56 × 457.77
  4. Step 4: Simplify right side
    945.30x = 648,456.38
  5. Step 5: Solve for x
    x = 648,456.38/945.30
  6. Step 6: Final answer
    x = 685.98

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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.