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Finding the Fourth Proportional to 1,225.30, 1,837.68 and 785.23

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Solution

The fourth proportional to 1,225.30, 1,837.68 and 785.23 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.30 : 1,837.68 = 785.23 : x
  2. Step 2: Convert to fraction form
    1,225.30/1,837.68 = 785.23/x
  3. Step 3: Cross multiply
    1,225.30x = 1,837.68 × 785.23
  4. Step 4: Simplify right side
    1,225.30x = 1,443,001.47
  5. Step 5: Solve for x
    x = 1,443,001.47/1,225.30
  6. Step 6: Final answer
    x = 1,177.67

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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.