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Finding the Fourth Proportional to 1,586.03, 2,378.76 and 598.93

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Solution

The fourth proportional to 1,586.03, 2,378.76 and 598.93 is: 898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.03 : 2,378.76 = 598.93 : x
  2. Step 2: Convert to fraction form
    1,586.03/2,378.76 = 598.93/x
  3. Step 3: Cross multiply
    1,586.03x = 2,378.76 × 598.93
  4. Step 4: Simplify right side
    1,586.03x = 1,424,710.73
  5. Step 5: Solve for x
    x = 1,424,710.73/1,586.03
  6. Step 6: Final answer
    x = 898.29

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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.