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Finding the Fourth Proportional to 1,506, 2,259.03 and 582

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Solution

The fourth proportional to 1,506, 2,259.03 and 582 is: 873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506 : 2,259.03 = 582 : x
  2. Step 2: Convert to fraction form
    1,506/2,259.03 = 582/x
  3. Step 3: Cross multiply
    1,506x = 2,259.03 × 582
  4. Step 4: Simplify right side
    1,506x = 1,314,755.46
  5. Step 5: Solve for x
    x = 1,314,755.46/1,506
  6. Step 6: Final answer
    x = 873.01

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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.