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Finding the Fourth Proportional to 945.88, 1,417.61 and 535.25

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Solution

The fourth proportional to 945.88, 1,417.61 and 535.25 is: 802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,417.61 = 535.25 : x
  2. Step 2: Convert to fraction form
    945.88/1,417.61 = 535.25/x
  3. Step 3: Cross multiply
    945.88x = 1,417.61 × 535.25
  4. Step 4: Simplify right side
    945.88x = 758,775.75
  5. Step 5: Solve for x
    x = 758,775.75/945.88
  6. Step 6: Final answer
    x = 802.19

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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.