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Finding the Fourth Proportional to 1,307.45, 1,958.75 and 751.52

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Solution

The fourth proportional to 1,307.45, 1,958.75 and 751.52 is: 1,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.45 : 1,958.75 = 751.52 : x
  2. Step 2: Convert to fraction form
    1,307.45/1,958.75 = 751.52/x
  3. Step 3: Cross multiply
    1,307.45x = 1,958.75 × 751.52
  4. Step 4: Simplify right side
    1,307.45x = 1,472,039.80
  5. Step 5: Solve for x
    x = 1,472,039.80/1,307.45
  6. Step 6: Final answer
    x = 1,125.89

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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.