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Finding the Fourth Proportional to 1,523.04, 2,283.80 and 597.89

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Solution

The fourth proportional to 1,523.04, 2,283.80 and 597.89 is: 896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.04 : 2,283.80 = 597.89 : x
  2. Step 2: Convert to fraction form
    1,523.04/2,283.80 = 597.89/x
  3. Step 3: Cross multiply
    1,523.04x = 2,283.80 × 597.89
  4. Step 4: Simplify right side
    1,523.04x = 1,365,446.77
  5. Step 5: Solve for x
    x = 1,365,446.77/1,523.04
  6. Step 6: Final answer
    x = 896.53

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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.