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Finding the Fourth Proportional to 945.47, 1,417.95 and 451.58

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Solution

The fourth proportional to 945.47, 1,417.95 and 451.58 is: 677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.47 : 1,417.95 = 451.58 : x
  2. Step 2: Convert to fraction form
    945.47/1,417.95 = 451.58/x
  3. Step 3: Cross multiply
    945.47x = 1,417.95 × 451.58
  4. Step 4: Simplify right side
    945.47x = 640,310.77
  5. Step 5: Solve for x
    x = 640,310.77/945.47
  6. Step 6: Final answer
    x = 677.24

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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.