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Finding the Fourth Proportional to 1,018.60, 1,404.34 and 831.76

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Solution

The fourth proportional to 1,018.60, 1,404.34 and 831.76 is: 1,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.60 : 1,404.34 = 831.76 : x
  2. Step 2: Convert to fraction form
    1,018.60/1,404.34 = 831.76/x
  3. Step 3: Cross multiply
    1,018.60x = 1,404.34 × 831.76
  4. Step 4: Simplify right side
    1,018.60x = 1,168,073.84
  5. Step 5: Solve for x
    x = 1,168,073.84/1,018.60
  6. Step 6: Final answer
    x = 1,146.74

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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.