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Finding the Fourth Proportional to 1,327.05, 1,831.33 and 802.93

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Solution

The fourth proportional to 1,327.05, 1,831.33 and 802.93 is: 1,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.05 : 1,831.33 = 802.93 : x
  2. Step 2: Convert to fraction form
    1,327.05/1,831.33 = 802.93/x
  3. Step 3: Cross multiply
    1,327.05x = 1,831.33 × 802.93
  4. Step 4: Simplify right side
    1,327.05x = 1,470,425.78
  5. Step 5: Solve for x
    x = 1,470,425.78/1,327.05
  6. Step 6: Final answer
    x = 1,108.04

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