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Finding the Fourth Proportional to 1,476.16, 2,213.74 and 654.40

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Solution

The fourth proportional to 1,476.16, 2,213.74 and 654.40 is: 981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.16 : 2,213.74 = 654.40 : x
  2. Step 2: Convert to fraction form
    1,476.16/2,213.74 = 654.40/x
  3. Step 3: Cross multiply
    1,476.16x = 2,213.74 × 654.40
  4. Step 4: Simplify right side
    1,476.16x = 1,448,671.46
  5. Step 5: Solve for x
    x = 1,448,671.46/1,476.16
  6. Step 6: Final answer
    x = 981.38

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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.