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Finding the Fourth Proportional to 1,307.43, 1,952.55 and 1,047.83

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Solution

The fourth proportional to 1,307.43, 1,952.55 and 1,047.83 is: 1,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.43 : 1,952.55 = 1,047.83 : x
  2. Step 2: Convert to fraction form
    1,307.43/1,952.55 = 1,047.83/x
  3. Step 3: Cross multiply
    1,307.43x = 1,952.55 × 1,047.83
  4. Step 4: Simplify right side
    1,307.43x = 2,045,930.70
  5. Step 5: Solve for x
    x = 2,045,930.70/1,307.43
  6. Step 6: Final answer
    x = 1,564.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.