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Finding the Fourth Proportional to 1,160.63, 1,742.16 and 583.50

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Solution

The fourth proportional to 1,160.63, 1,742.16 and 583.50 is: 875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.63 : 1,742.16 = 583.50 : x
  2. Step 2: Convert to fraction form
    1,160.63/1,742.16 = 583.50/x
  3. Step 3: Cross multiply
    1,160.63x = 1,742.16 × 583.50
  4. Step 4: Simplify right side
    1,160.63x = 1,016,550.36
  5. Step 5: Solve for x
    x = 1,016,550.36/1,160.63
  6. Step 6: Final answer
    x = 875.86

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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.