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Finding the Fourth Proportional to 941.40, 1,409.64 and 722.76

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Solution

The fourth proportional to 941.40, 1,409.64 and 722.76 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,409.64 = 722.76 : x
  2. Step 2: Convert to fraction form
    941.40/1,409.64 = 722.76/x
  3. Step 3: Cross multiply
    941.40x = 1,409.64 × 722.76
  4. Step 4: Simplify right side
    941.40x = 1,018,831.41
  5. Step 5: Solve for x
    x = 1,018,831.41/941.40
  6. Step 6: Final answer
    x = 1,082.25

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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.