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Finding the Fourth Proportional to 1,015.53, 1,401.40 and 567.42

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Solution

The fourth proportional to 1,015.53, 1,401.40 and 567.42 is: 783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.53 : 1,401.40 = 567.42 : x
  2. Step 2: Convert to fraction form
    1,015.53/1,401.40 = 567.42/x
  3. Step 3: Cross multiply
    1,015.53x = 1,401.40 × 567.42
  4. Step 4: Simplify right side
    1,015.53x = 795,182.39
  5. Step 5: Solve for x
    x = 795,182.39/1,015.53
  6. Step 6: Final answer
    x = 783.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.