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Finding the Fourth Proportional to 1,062.53, 1,466.19 and 590.37

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Solution

The fourth proportional to 1,062.53, 1,466.19 and 590.37 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.53 : 1,466.19 = 590.37 : x
  2. Step 2: Convert to fraction form
    1,062.53/1,466.19 = 590.37/x
  3. Step 3: Cross multiply
    1,062.53x = 1,466.19 × 590.37
  4. Step 4: Simplify right side
    1,062.53x = 865,596.07
  5. Step 5: Solve for x
    x = 865,596.07/1,062.53
  6. Step 6: Final answer
    x = 814.65

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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.