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Finding the Fourth Proportional to 1,300.02, 1,950.82 and 684.15

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Solution

The fourth proportional to 1,300.02, 1,950.82 and 684.15 is: 1,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.02 : 1,950.82 = 684.15 : x
  2. Step 2: Convert to fraction form
    1,300.02/1,950.82 = 684.15/x
  3. Step 3: Cross multiply
    1,300.02x = 1,950.82 × 684.15
  4. Step 4: Simplify right side
    1,300.02x = 1,334,644.48
  5. Step 5: Solve for x
    x = 1,334,644.48/1,300.02
  6. Step 6: Final answer
    x = 1,026.64

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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.