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Finding the Fourth Proportional to 1,506.93, 2,259.86 and 582.02

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Solution

The fourth proportional to 1,506.93, 2,259.86 and 582.02 is: 872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.93 : 2,259.86 = 582.02 : x
  2. Step 2: Convert to fraction form
    1,506.93/2,259.86 = 582.02/x
  3. Step 3: Cross multiply
    1,506.93x = 2,259.86 × 582.02
  4. Step 4: Simplify right side
    1,506.93x = 1,315,269.51
  5. Step 5: Solve for x
    x = 1,315,269.51/1,506.93
  6. Step 6: Final answer
    x = 872.81

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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.