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Finding the Fourth Proportional to 1,307.14, 1,805.43 and 952.50

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Solution

The fourth proportional to 1,307.14, 1,805.43 and 952.50 is: 1,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.14 : 1,805.43 = 952.50 : x
  2. Step 2: Convert to fraction form
    1,307.14/1,805.43 = 952.50/x
  3. Step 3: Cross multiply
    1,307.14x = 1,805.43 × 952.50
  4. Step 4: Simplify right side
    1,307.14x = 1,719,672.08
  5. Step 5: Solve for x
    x = 1,719,672.08/1,307.14
  6. Step 6: Final answer
    x = 1,315.60

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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.