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Finding the Fourth Proportional to 1,506.98, 2,259.09 and 583.16

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Solution

The fourth proportional to 1,506.98, 2,259.09 and 583.16 is: 874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.98 : 2,259.09 = 583.16 : x
  2. Step 2: Convert to fraction form
    1,506.98/2,259.09 = 583.16/x
  3. Step 3: Cross multiply
    1,506.98x = 2,259.09 × 583.16
  4. Step 4: Simplify right side
    1,506.98x = 1,317,399.63
  5. Step 5: Solve for x
    x = 1,317,399.63/1,506.98
  6. Step 6: Final answer
    x = 874.20

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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.