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Finding the Fourth Proportional to 1,133.20, 1,701.36 and 585.76

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Solution

The fourth proportional to 1,133.20, 1,701.36 and 585.76 is: 879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.20 : 1,701.36 = 585.76 : x
  2. Step 2: Convert to fraction form
    1,133.20/1,701.36 = 585.76/x
  3. Step 3: Cross multiply
    1,133.20x = 1,701.36 × 585.76
  4. Step 4: Simplify right side
    1,133.20x = 996,588.63
  5. Step 5: Solve for x
    x = 996,588.63/1,133.20
  6. Step 6: Final answer
    x = 879.45

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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.