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Finding the Fourth Proportional to 1,061.63, 1,465.11 and 619.50

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Solution

The fourth proportional to 1,061.63, 1,465.11 and 619.50 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.63 : 1,465.11 = 619.50 : x
  2. Step 2: Convert to fraction form
    1,061.63/1,465.11 = 619.50/x
  3. Step 3: Cross multiply
    1,061.63x = 1,465.11 × 619.50
  4. Step 4: Simplify right side
    1,061.63x = 907,641.14
  5. Step 5: Solve for x
    x = 907,641.14/1,061.63
  6. Step 6: Final answer
    x = 854.95

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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.