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Finding the Fourth Proportional to 1,260.95, 1,892.16 and 530.47

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Solution

The fourth proportional to 1,260.95, 1,892.16 and 530.47 is: 796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.95 : 1,892.16 = 530.47 : x
  2. Step 2: Convert to fraction form
    1,260.95/1,892.16 = 530.47/x
  3. Step 3: Cross multiply
    1,260.95x = 1,892.16 × 530.47
  4. Step 4: Simplify right side
    1,260.95x = 1,003,734.12
  5. Step 5: Solve for x
    x = 1,003,734.12/1,260.95
  6. Step 6: Final answer
    x = 796.01

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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.