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Finding the Fourth Proportional to 1,572.70, 2,359.20 and 598.54

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Solution

The fourth proportional to 1,572.70, 2,359.20 and 598.54 is: 897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.70 : 2,359.20 = 598.54 : x
  2. Step 2: Convert to fraction form
    1,572.70/2,359.20 = 598.54/x
  3. Step 3: Cross multiply
    1,572.70x = 2,359.20 × 598.54
  4. Step 4: Simplify right side
    1,572.70x = 1,412,075.57
  5. Step 5: Solve for x
    x = 1,412,075.57/1,572.70
  6. Step 6: Final answer
    x = 897.87

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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.