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Finding the Fourth Proportional to 1,580.49, 2,369.45 and 592.75

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Solution

The fourth proportional to 1,580.49, 2,369.45 and 592.75 is: 888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.49 : 2,369.45 = 592.75 : x
  2. Step 2: Convert to fraction form
    1,580.49/2,369.45 = 592.75/x
  3. Step 3: Cross multiply
    1,580.49x = 2,369.45 × 592.75
  4. Step 4: Simplify right side
    1,580.49x = 1,404,499.26
  5. Step 5: Solve for x
    x = 1,404,499.26/1,580.49
  6. Step 6: Final answer
    x = 888.65

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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.