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Finding the Fourth Proportional to 1,056.24, 1,582.06 and 593.77

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Solution

The fourth proportional to 1,056.24, 1,582.06 and 593.77 is: 889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,582.06 = 593.77 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,582.06 = 593.77/x
  3. Step 3: Cross multiply
    1,056.24x = 1,582.06 × 593.77
  4. Step 4: Simplify right side
    1,056.24x = 939,379.77
  5. Step 5: Solve for x
    x = 939,379.77/1,056.24
  6. Step 6: Final answer
    x = 889.36

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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.