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Finding the Fourth Proportional to 1,017.40, 1,525.42 and 368.05

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Solution

The fourth proportional to 1,017.40, 1,525.42 and 368.05 is: 551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.40 : 1,525.42 = 368.05 : x
  2. Step 2: Convert to fraction form
    1,017.40/1,525.42 = 368.05/x
  3. Step 3: Cross multiply
    1,017.40x = 1,525.42 × 368.05
  4. Step 4: Simplify right side
    1,017.40x = 561,428.99
  5. Step 5: Solve for x
    x = 561,428.99/1,017.40
  6. Step 6: Final answer
    x = 551.83

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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.