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Finding the Fourth Proportional to 1,104.06, 1,656.06 and 555.68

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Solution

The fourth proportional to 1,104.06, 1,656.06 and 555.68 is: 833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.06 : 1,656.06 = 555.68 : x
  2. Step 2: Convert to fraction form
    1,104.06/1,656.06 = 555.68/x
  3. Step 3: Cross multiply
    1,104.06x = 1,656.06 × 555.68
  4. Step 4: Simplify right side
    1,104.06x = 920,239.42
  5. Step 5: Solve for x
    x = 920,239.42/1,104.06
  6. Step 6: Final answer
    x = 833.50

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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.