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Finding the Fourth Proportional to 1,106.51, 1,527.08 and 634.55

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Solution

The fourth proportional to 1,106.51, 1,527.08 and 634.55 is: 875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.51 : 1,527.08 = 634.55 : x
  2. Step 2: Convert to fraction form
    1,106.51/1,527.08 = 634.55/x
  3. Step 3: Cross multiply
    1,106.51x = 1,527.08 × 634.55
  4. Step 4: Simplify right side
    1,106.51x = 968,997.81
  5. Step 5: Solve for x
    x = 968,997.81/1,106.51
  6. Step 6: Final answer
    x = 875.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.