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Finding the Fourth Proportional to 1,062.51, 1,593.18 and 359.55

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Solution

The fourth proportional to 1,062.51, 1,593.18 and 359.55 is: 539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.51 : 1,593.18 = 359.55 : x
  2. Step 2: Convert to fraction form
    1,062.51/1,593.18 = 359.55/x
  3. Step 3: Cross multiply
    1,062.51x = 1,593.18 × 359.55
  4. Step 4: Simplify right side
    1,062.51x = 572,827.87
  5. Step 5: Solve for x
    x = 572,827.87/1,062.51
  6. Step 6: Final answer
    x = 539.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.