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Finding the Fourth Proportional to 1,130.17, 1,695.75 and 582.74

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Solution

The fourth proportional to 1,130.17, 1,695.75 and 582.74 is: 874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.17 : 1,695.75 = 582.74 : x
  2. Step 2: Convert to fraction form
    1,130.17/1,695.75 = 582.74/x
  3. Step 3: Cross multiply
    1,130.17x = 1,695.75 × 582.74
  4. Step 4: Simplify right side
    1,130.17x = 988,181.36
  5. Step 5: Solve for x
    x = 988,181.36/1,130.17
  6. Step 6: Final answer
    x = 874.37

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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.