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Finding the Fourth Proportional to 1,106.22, 1,527.16 and 1,000.94

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Solution

The fourth proportional to 1,106.22, 1,527.16 and 1,000.94 is: 1,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.22 : 1,527.16 = 1,000.94 : x
  2. Step 2: Convert to fraction form
    1,106.22/1,527.16 = 1,000.94/x
  3. Step 3: Cross multiply
    1,106.22x = 1,527.16 × 1,000.94
  4. Step 4: Simplify right side
    1,106.22x = 1,528,595.53
  5. Step 5: Solve for x
    x = 1,528,595.53/1,106.22
  6. Step 6: Final answer
    x = 1,381.82

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