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Finding the Fourth Proportional to 1,573.12, 2,358.69 and 598.69

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Solution

The fourth proportional to 1,573.12, 2,358.69 and 598.69 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.12 : 2,358.69 = 598.69 : x
  2. Step 2: Convert to fraction form
    1,573.12/2,358.69 = 598.69/x
  3. Step 3: Cross multiply
    1,573.12x = 2,358.69 × 598.69
  4. Step 4: Simplify right side
    1,573.12x = 1,412,124.12
  5. Step 5: Solve for x
    x = 1,412,124.12/1,573.12
  6. Step 6: Final answer
    x = 897.66

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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.