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Finding the Fourth Proportional to 1,106.91, 1,527.49 and 652.66

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Solution

The fourth proportional to 1,106.91, 1,527.49 and 652.66 is: 900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.91 : 1,527.49 = 652.66 : x
  2. Step 2: Convert to fraction form
    1,106.91/1,527.49 = 652.66/x
  3. Step 3: Cross multiply
    1,106.91x = 1,527.49 × 652.66
  4. Step 4: Simplify right side
    1,106.91x = 996,931.62
  5. Step 5: Solve for x
    x = 996,931.62/1,106.91
  6. Step 6: Final answer
    x = 900.64

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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.