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Finding the Fourth Proportional to 1,283.69, 1,771.35 and 752.63

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Solution

The fourth proportional to 1,283.69, 1,771.35 and 752.63 is: 1,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.69 : 1,771.35 = 752.63 : x
  2. Step 2: Convert to fraction form
    1,283.69/1,771.35 = 752.63/x
  3. Step 3: Cross multiply
    1,283.69x = 1,771.35 × 752.63
  4. Step 4: Simplify right side
    1,283.69x = 1,333,162.29
  5. Step 5: Solve for x
    x = 1,333,162.29/1,283.69
  6. Step 6: Final answer
    x = 1,038.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.