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Finding the Fourth Proportional to 1,247.45, 1,870.76 and 553.68

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Solution

The fourth proportional to 1,247.45, 1,870.76 and 553.68 is: 830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.45 : 1,870.76 = 553.68 : x
  2. Step 2: Convert to fraction form
    1,247.45/1,870.76 = 553.68/x
  3. Step 3: Cross multiply
    1,247.45x = 1,870.76 × 553.68
  4. Step 4: Simplify right side
    1,247.45x = 1,035,799.63
  5. Step 5: Solve for x
    x = 1,035,799.63/1,247.45
  6. Step 6: Final answer
    x = 830.34

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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.