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Finding the Fourth Proportional to 1,307.95, 1,803.14 and 1,107.98

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Solution

The fourth proportional to 1,307.95, 1,803.14 and 1,107.98 is: 1,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.95 : 1,803.14 = 1,107.98 : x
  2. Step 2: Convert to fraction form
    1,307.95/1,803.14 = 1,107.98/x
  3. Step 3: Cross multiply
    1,307.95x = 1,803.14 × 1,107.98
  4. Step 4: Simplify right side
    1,307.95x = 1,997,836.30
  5. Step 5: Solve for x
    x = 1,997,836.30/1,307.95
  6. Step 6: Final answer
    x = 1,527.46

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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.