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Finding the Fourth Proportional to 1,055.24, 1,580.56 and 592.77

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Solution

The fourth proportional to 1,055.24, 1,580.56 and 592.77 is: 887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.24 : 1,580.56 = 592.77 : x
  2. Step 2: Convert to fraction form
    1,055.24/1,580.56 = 592.77/x
  3. Step 3: Cross multiply
    1,055.24x = 1,580.56 × 592.77
  4. Step 4: Simplify right side
    1,055.24x = 936,913.00
  5. Step 5: Solve for x
    x = 936,913.00/1,055.24
  6. Step 6: Final answer
    x = 887.87

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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.