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Finding the Fourth Proportional to 945.01, 1,417.74 and 425.26

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Solution

The fourth proportional to 945.01, 1,417.74 and 425.26 is: 637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.01 : 1,417.74 = 425.26 : x
  2. Step 2: Convert to fraction form
    945.01/1,417.74 = 425.26/x
  3. Step 3: Cross multiply
    945.01x = 1,417.74 × 425.26
  4. Step 4: Simplify right side
    945.01x = 602,908.11
  5. Step 5: Solve for x
    x = 602,908.11/945.01
  6. Step 6: Final answer
    x = 637.99

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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.