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Finding the Fourth Proportional to 1,015.16, 1,402.52 and 756.48

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Solution

The fourth proportional to 1,015.16, 1,402.52 and 756.48 is: 1,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,402.52 = 756.48 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,402.52 = 756.48/x
  3. Step 3: Cross multiply
    1,015.16x = 1,402.52 × 756.48
  4. Step 4: Simplify right side
    1,015.16x = 1,060,978.33
  5. Step 5: Solve for x
    x = 1,060,978.33/1,015.16
  6. Step 6: Final answer
    x = 1,045.13

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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.