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Finding the Fourth Proportional to 1,319.48, 1,977.84 and 539.18

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Solution

The fourth proportional to 1,319.48, 1,977.84 and 539.18 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.48 : 1,977.84 = 539.18 : x
  2. Step 2: Convert to fraction form
    1,319.48/1,977.84 = 539.18/x
  3. Step 3: Cross multiply
    1,319.48x = 1,977.84 × 539.18
  4. Step 4: Simplify right side
    1,319.48x = 1,066,411.77
  5. Step 5: Solve for x
    x = 1,066,411.77/1,319.48
  6. Step 6: Final answer
    x = 808.21

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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.