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Finding the Fourth Proportional to 1,025.63, 1,537.23 and 591.89

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Solution

The fourth proportional to 1,025.63, 1,537.23 and 591.89 is: 887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.63 : 1,537.23 = 591.89 : x
  2. Step 2: Convert to fraction form
    1,025.63/1,537.23 = 591.89/x
  3. Step 3: Cross multiply
    1,025.63x = 1,537.23 × 591.89
  4. Step 4: Simplify right side
    1,025.63x = 909,871.06
  5. Step 5: Solve for x
    x = 909,871.06/1,025.63
  6. Step 6: Final answer
    x = 887.13

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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.