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Finding the Fourth Proportional to 1,130.86, 1,696.49 and 582.89

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Solution

The fourth proportional to 1,130.86, 1,696.49 and 582.89 is: 874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.86 : 1,696.49 = 582.89 : x
  2. Step 2: Convert to fraction form
    1,130.86/1,696.49 = 582.89/x
  3. Step 3: Cross multiply
    1,130.86x = 1,696.49 × 582.89
  4. Step 4: Simplify right side
    1,130.86x = 988,864.14
  5. Step 5: Solve for x
    x = 988,864.14/1,130.86
  6. Step 6: Final answer
    x = 874.44

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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.