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Finding the Fourth Proportional to 1,130.34, 1,693.42 and 582.86

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Solution

The fourth proportional to 1,130.34, 1,693.42 and 582.86 is: 873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.34 : 1,693.42 = 582.86 : x
  2. Step 2: Convert to fraction form
    1,130.34/1,693.42 = 582.86/x
  3. Step 3: Cross multiply
    1,130.34x = 1,693.42 × 582.86
  4. Step 4: Simplify right side
    1,130.34x = 987,015.40
  5. Step 5: Solve for x
    x = 987,015.40/1,130.34
  6. Step 6: Final answer
    x = 873.20

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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.