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Finding the Fourth Proportional to 1,573.90, 2,358.91 and 695.46

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Solution

The fourth proportional to 1,573.90, 2,358.91 and 695.46 is: 1,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.90 : 2,358.91 = 695.46 : x
  2. Step 2: Convert to fraction form
    1,573.90/2,358.91 = 695.46/x
  3. Step 3: Cross multiply
    1,573.90x = 2,358.91 × 695.46
  4. Step 4: Simplify right side
    1,573.90x = 1,640,519.32
  5. Step 5: Solve for x
    x = 1,640,519.32/1,573.90
  6. Step 6: Final answer
    x = 1,042.33

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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.