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Finding the Fourth Proportional to 1,434.90, 2,151.14 and 785.01

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Solution

The fourth proportional to 1,434.90, 2,151.14 and 785.01 is: 1,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.90 : 2,151.14 = 785.01 : x
  2. Step 2: Convert to fraction form
    1,434.90/2,151.14 = 785.01/x
  3. Step 3: Cross multiply
    1,434.90x = 2,151.14 × 785.01
  4. Step 4: Simplify right side
    1,434.90x = 1,688,662.49
  5. Step 5: Solve for x
    x = 1,688,662.49/1,434.90
  6. Step 6: Final answer
    x = 1,176.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.