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Finding the Fourth Proportional to 1,572.01, 2,358.41 and 597.58

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Solution

The fourth proportional to 1,572.01, 2,358.41 and 597.58 is: 896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.01 : 2,358.41 = 597.58 : x
  2. Step 2: Convert to fraction form
    1,572.01/2,358.41 = 597.58/x
  3. Step 3: Cross multiply
    1,572.01x = 2,358.41 × 597.58
  4. Step 4: Simplify right side
    1,572.01x = 1,409,338.65
  5. Step 5: Solve for x
    x = 1,409,338.65/1,572.01
  6. Step 6: Final answer
    x = 896.52

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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.