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Finding the Fourth Proportional to 1,571.74, 2,358.23 and 597.93

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Solution

The fourth proportional to 1,571.74, 2,358.23 and 597.93 is: 897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.74 : 2,358.23 = 597.93 : x
  2. Step 2: Convert to fraction form
    1,571.74/2,358.23 = 597.93/x
  3. Step 3: Cross multiply
    1,571.74x = 2,358.23 × 597.93
  4. Step 4: Simplify right side
    1,571.74x = 1,410,056.46
  5. Step 5: Solve for x
    x = 1,410,056.46/1,571.74
  6. Step 6: Final answer
    x = 897.13

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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.