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Finding the Fourth Proportional to 1,105.83, 1,526.01 and 608.46

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Solution

The fourth proportional to 1,105.83, 1,526.01 and 608.46 is: 839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.83 : 1,526.01 = 608.46 : x
  2. Step 2: Convert to fraction form
    1,105.83/1,526.01 = 608.46/x
  3. Step 3: Cross multiply
    1,105.83x = 1,526.01 × 608.46
  4. Step 4: Simplify right side
    1,105.83x = 928,521.76
  5. Step 5: Solve for x
    x = 928,521.76/1,105.83
  6. Step 6: Final answer
    x = 839.66

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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.