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Finding the Fourth Proportional to 831.64, 1,145.74 and 582.52

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Solution

The fourth proportional to 831.64, 1,145.74 and 582.52 is: 802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.64 : 1,145.74 = 582.52 : x
  2. Step 2: Convert to fraction form
    831.64/1,145.74 = 582.52/x
  3. Step 3: Cross multiply
    831.64x = 1,145.74 × 582.52
  4. Step 4: Simplify right side
    831.64x = 667,416.46
  5. Step 5: Solve for x
    x = 667,416.46/831.64
  6. Step 6: Final answer
    x = 802.53

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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.