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Finding the Fourth Proportional to 1,693.07, 2,539.14 and 597.29

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Solution

The fourth proportional to 1,693.07, 2,539.14 and 597.29 is: 895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.07 : 2,539.14 = 597.29 : x
  2. Step 2: Convert to fraction form
    1,693.07/2,539.14 = 597.29/x
  3. Step 3: Cross multiply
    1,693.07x = 2,539.14 × 597.29
  4. Step 4: Simplify right side
    1,693.07x = 1,516,590.23
  5. Step 5: Solve for x
    x = 1,516,590.23/1,693.07
  6. Step 6: Final answer
    x = 895.77

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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.