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Finding the Fourth Proportional to 1,419.89, 2,130.04 and 597.65

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Solution

The fourth proportional to 1,419.89, 2,130.04 and 597.65 is: 896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.89 : 2,130.04 = 597.65 : x
  2. Step 2: Convert to fraction form
    1,419.89/2,130.04 = 597.65/x
  3. Step 3: Cross multiply
    1,419.89x = 2,130.04 × 597.65
  4. Step 4: Simplify right side
    1,419.89x = 1,273,015.42
  5. Step 5: Solve for x
    x = 1,273,015.42/1,419.89
  6. Step 6: Final answer
    x = 896.56

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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.