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Finding the Fourth Proportional to 1,483.95, 2,047.69 and 820.69

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Solution

The fourth proportional to 1,483.95, 2,047.69 and 820.69 is: 1,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.95 : 2,047.69 = 820.69 : x
  2. Step 2: Convert to fraction form
    1,483.95/2,047.69 = 820.69/x
  3. Step 3: Cross multiply
    1,483.95x = 2,047.69 × 820.69
  4. Step 4: Simplify right side
    1,483.95x = 1,680,518.71
  5. Step 5: Solve for x
    x = 1,680,518.71/1,483.95
  6. Step 6: Final answer
    x = 1,132.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.