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Finding the Fourth Proportional to 1,698.26, 2,547.26 and 602.60

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Solution

The fourth proportional to 1,698.26, 2,547.26 and 602.60 is: 903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.26 : 2,547.26 = 602.60 : x
  2. Step 2: Convert to fraction form
    1,698.26/2,547.26 = 602.60/x
  3. Step 3: Cross multiply
    1,698.26x = 2,547.26 × 602.60
  4. Step 4: Simplify right side
    1,698.26x = 1,534,975.86
  5. Step 5: Solve for x
    x = 1,534,975.86/1,698.26
  6. Step 6: Final answer
    x = 903.85

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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.