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Finding the Fourth Proportional to 1,507.07, 2,259.89 and 583.06

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Solution

The fourth proportional to 1,507.07, 2,259.89 and 583.06 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.07 : 2,259.89 = 583.06 : x
  2. Step 2: Convert to fraction form
    1,507.07/2,259.89 = 583.06/x
  3. Step 3: Cross multiply
    1,507.07x = 2,259.89 × 583.06
  4. Step 4: Simplify right side
    1,507.07x = 1,317,652.92
  5. Step 5: Solve for x
    x = 1,317,652.92/1,507.07
  6. Step 6: Final answer
    x = 874.32

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