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Finding the Fourth Proportional to 1,106.40, 1,658.32 and 862.56

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Solution

The fourth proportional to 1,106.40, 1,658.32 and 862.56 is: 1,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.40 : 1,658.32 = 862.56 : x
  2. Step 2: Convert to fraction form
    1,106.40/1,658.32 = 862.56/x
  3. Step 3: Cross multiply
    1,106.40x = 1,658.32 × 862.56
  4. Step 4: Simplify right side
    1,106.40x = 1,430,400.50
  5. Step 5: Solve for x
    x = 1,430,400.50/1,106.40
  6. Step 6: Final answer
    x = 1,292.84

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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.