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Finding the Fourth Proportional to 947.96, 1,307.84 and 593.64

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Solution

The fourth proportional to 947.96, 1,307.84 and 593.64 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.96 : 1,307.84 = 593.64 : x
  2. Step 2: Convert to fraction form
    947.96/1,307.84 = 593.64/x
  3. Step 3: Cross multiply
    947.96x = 1,307.84 × 593.64
  4. Step 4: Simplify right side
    947.96x = 776,386.14
  5. Step 5: Solve for x
    x = 776,386.14/947.96
  6. Step 6: Final answer
    x = 819.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.