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Finding the Fourth Proportional to 1,650.73, 2,476.47 and 555.01

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Solution

The fourth proportional to 1,650.73, 2,476.47 and 555.01 is: 832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.73 : 2,476.47 = 555.01 : x
  2. Step 2: Convert to fraction form
    1,650.73/2,476.47 = 555.01/x
  3. Step 3: Cross multiply
    1,650.73x = 2,476.47 × 555.01
  4. Step 4: Simplify right side
    1,650.73x = 1,374,465.61
  5. Step 5: Solve for x
    x = 1,374,465.61/1,650.73
  6. Step 6: Final answer
    x = 832.64

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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.