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Finding the Fourth Proportional to 1,440.42, 2,160.77 and 618.45

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Solution

The fourth proportional to 1,440.42, 2,160.77 and 618.45 is: 927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.42 : 2,160.77 = 618.45 : x
  2. Step 2: Convert to fraction form
    1,440.42/2,160.77 = 618.45/x
  3. Step 3: Cross multiply
    1,440.42x = 2,160.77 × 618.45
  4. Step 4: Simplify right side
    1,440.42x = 1,336,325.11
  5. Step 5: Solve for x
    x = 1,336,325.11/1,440.42
  6. Step 6: Final answer
    x = 927.73

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1.5x scale

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.