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Finding the Fourth Proportional to 1,106.66, 1,526.67 and 663.79

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Solution

The fourth proportional to 1,106.66, 1,526.67 and 663.79 is: 915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.66 : 1,526.67 = 663.79 : x
  2. Step 2: Convert to fraction form
    1,106.66/1,526.67 = 663.79/x
  3. Step 3: Cross multiply
    1,106.66x = 1,526.67 × 663.79
  4. Step 4: Simplify right side
    1,106.66x = 1,013,380.65
  5. Step 5: Solve for x
    x = 1,013,380.65/1,106.66
  6. Step 6: Final answer
    x = 915.72

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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.