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Finding the Fourth Proportional to 1,083.54, 1,495.29 and 586.18

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Solution

The fourth proportional to 1,083.54, 1,495.29 and 586.18 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.54 : 1,495.29 = 586.18 : x
  2. Step 2: Convert to fraction form
    1,083.54/1,495.29 = 586.18/x
  3. Step 3: Cross multiply
    1,083.54x = 1,495.29 × 586.18
  4. Step 4: Simplify right side
    1,083.54x = 876,509.86
  5. Step 5: Solve for x
    x = 876,509.86/1,083.54
  6. Step 6: Final answer
    x = 808.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.