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Finding the Fourth Proportional to 1,580.49, 2,370.67 and 606.53

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Solution

The fourth proportional to 1,580.49, 2,370.67 and 606.53 is: 909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.49 : 2,370.67 = 606.53 : x
  2. Step 2: Convert to fraction form
    1,580.49/2,370.67 = 606.53/x
  3. Step 3: Cross multiply
    1,580.49x = 2,370.67 × 606.53
  4. Step 4: Simplify right side
    1,580.49x = 1,437,886.89
  5. Step 5: Solve for x
    x = 1,437,886.89/1,580.49
  6. Step 6: Final answer
    x = 909.77

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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.