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Finding the Fourth Proportional to 1,068.52, 1,593.45 and 950.53

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Solution

The fourth proportional to 1,068.52, 1,593.45 and 950.53 is: 1,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.52 : 1,593.45 = 950.53 : x
  2. Step 2: Convert to fraction form
    1,068.52/1,593.45 = 950.53/x
  3. Step 3: Cross multiply
    1,068.52x = 1,593.45 × 950.53
  4. Step 4: Simplify right side
    1,068.52x = 1,514,622.03
  5. Step 5: Solve for x
    x = 1,514,622.03/1,068.52
  6. Step 6: Final answer
    x = 1,417.50

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Why These Related Problems?

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