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Finding the Fourth Proportional to 1,507.74, 2,261.10 and 583.08

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Solution

The fourth proportional to 1,507.74, 2,261.10 and 583.08 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.74 : 2,261.10 = 583.08 : x
  2. Step 2: Convert to fraction form
    1,507.74/2,261.10 = 583.08/x
  3. Step 3: Cross multiply
    1,507.74x = 2,261.10 × 583.08
  4. Step 4: Simplify right side
    1,507.74x = 1,318,402.19
  5. Step 5: Solve for x
    x = 1,318,402.19/1,507.74
  6. Step 6: Final answer
    x = 874.42

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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.