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Finding the Fourth Proportional to 1,283.49, 1,771.61 and 752.50

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Solution

The fourth proportional to 1,283.49, 1,771.61 and 752.50 is: 1,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.49 : 1,771.61 = 752.50 : x
  2. Step 2: Convert to fraction form
    1,283.49/1,771.61 = 752.50/x
  3. Step 3: Cross multiply
    1,283.49x = 1,771.61 × 752.50
  4. Step 4: Simplify right side
    1,283.49x = 1,333,136.53
  5. Step 5: Solve for x
    x = 1,333,136.53/1,283.49
  6. Step 6: Final answer
    x = 1,038.68

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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.