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Finding the Fourth Proportional to 1,056.39, 1,583.17 and 593.94

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Solution

The fourth proportional to 1,056.39, 1,583.17 and 593.94 is: 890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.39 : 1,583.17 = 593.94 : x
  2. Step 2: Convert to fraction form
    1,056.39/1,583.17 = 593.94/x
  3. Step 3: Cross multiply
    1,056.39x = 1,583.17 × 593.94
  4. Step 4: Simplify right side
    1,056.39x = 940,307.99
  5. Step 5: Solve for x
    x = 940,307.99/1,056.39
  6. Step 6: Final answer
    x = 890.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.