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Finding the Fourth Proportional to 1,698.78, 2,547.69 and 602.55

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Solution

The fourth proportional to 1,698.78, 2,547.69 and 602.55 is: 903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.78 : 2,547.69 = 602.55 : x
  2. Step 2: Convert to fraction form
    1,698.78/2,547.69 = 602.55/x
  3. Step 3: Cross multiply
    1,698.78x = 2,547.69 × 602.55
  4. Step 4: Simplify right side
    1,698.78x = 1,535,110.61
  5. Step 5: Solve for x
    x = 1,535,110.61/1,698.78
  6. Step 6: Final answer
    x = 903.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.