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Finding the Fourth Proportional to 1,055.39, 1,581.68 and 592.94

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Solution

The fourth proportional to 1,055.39, 1,581.68 and 592.94 is: 888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.39 : 1,581.68 = 592.94 : x
  2. Step 2: Convert to fraction form
    1,055.39/1,581.68 = 592.94/x
  3. Step 3: Cross multiply
    1,055.39x = 1,581.68 × 592.94
  4. Step 4: Simplify right side
    1,055.39x = 937,830.47
  5. Step 5: Solve for x
    x = 937,830.47/1,055.39
  6. Step 6: Final answer
    x = 888.61

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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.