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Finding the Fourth Proportional to 1,106.07, 1,657.83 and 456

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Solution

The fourth proportional to 1,106.07, 1,657.83 and 456 is: 683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.07 : 1,657.83 = 456 : x
  2. Step 2: Convert to fraction form
    1,106.07/1,657.83 = 456/x
  3. Step 3: Cross multiply
    1,106.07x = 1,657.83 × 456
  4. Step 4: Simplify right side
    1,106.07x = 755,970.48
  5. Step 5: Solve for x
    x = 755,970.48/1,106.07
  6. Step 6: Final answer
    x = 683.47

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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.