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Finding the Fourth Proportional to 1,205.40, 1,806.86 and 511.76

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Solution

The fourth proportional to 1,205.40, 1,806.86 and 511.76 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.40 : 1,806.86 = 511.76 : x
  2. Step 2: Convert to fraction form
    1,205.40/1,806.86 = 511.76/x
  3. Step 3: Cross multiply
    1,205.40x = 1,806.86 × 511.76
  4. Step 4: Simplify right side
    1,205.40x = 924,678.67
  5. Step 5: Solve for x
    x = 924,678.67/1,205.40
  6. Step 6: Final answer
    x = 767.11

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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.