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Finding the Fourth Proportional to 1,554.80, 2,332.33 and 459.20

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Solution

The fourth proportional to 1,554.80, 2,332.33 and 459.20 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.80 : 2,332.33 = 459.20 : x
  2. Step 2: Convert to fraction form
    1,554.80/2,332.33 = 459.20/x
  3. Step 3: Cross multiply
    1,554.80x = 2,332.33 × 459.20
  4. Step 4: Simplify right side
    1,554.80x = 1,071,010.62
  5. Step 5: Solve for x
    x = 1,071,010.62/1,554.80
  6. Step 6: Final answer
    x = 688.84

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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.