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Finding the Fourth Proportional to 1,699.59, 2,549.45 and 589.01

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Solution

The fourth proportional to 1,699.59, 2,549.45 and 589.01 is: 883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.59 : 2,549.45 = 589.01 : x
  2. Step 2: Convert to fraction form
    1,699.59/2,549.45 = 589.01/x
  3. Step 3: Cross multiply
    1,699.59x = 2,549.45 × 589.01
  4. Step 4: Simplify right side
    1,699.59x = 1,501,659.39
  5. Step 5: Solve for x
    x = 1,501,659.39/1,699.59
  6. Step 6: Final answer
    x = 883.54

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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.