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Finding the Fourth Proportional to 1,104.23, 1,656.29 and 670.47

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Solution

The fourth proportional to 1,104.23, 1,656.29 and 670.47 is: 1,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.23 : 1,656.29 = 670.47 : x
  2. Step 2: Convert to fraction form
    1,104.23/1,656.29 = 670.47/x
  3. Step 3: Cross multiply
    1,104.23x = 1,656.29 × 670.47
  4. Step 4: Simplify right side
    1,104.23x = 1,110,492.76
  5. Step 5: Solve for x
    x = 1,110,492.76/1,104.23
  6. Step 6: Final answer
    x = 1,005.67

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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.