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Finding the Fourth Proportional to 1,105.95, 1,658.93 and 527.07

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Solution

The fourth proportional to 1,105.95, 1,658.93 and 527.07 is: 790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.95 : 1,658.93 = 527.07 : x
  2. Step 2: Convert to fraction form
    1,105.95/1,658.93 = 527.07/x
  3. Step 3: Cross multiply
    1,105.95x = 1,658.93 × 527.07
  4. Step 4: Simplify right side
    1,105.95x = 874,372.24
  5. Step 5: Solve for x
    x = 874,372.24/1,105.95
  6. Step 6: Final answer
    x = 790.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.