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Finding the Fourth Proportional to 1,018.15, 1,405.03 and 570.00

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Solution

The fourth proportional to 1,018.15, 1,405.03 and 570.00 is: 786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.15 : 1,405.03 = 570.00 : x
  2. Step 2: Convert to fraction form
    1,018.15/1,405.03 = 570.00/x
  3. Step 3: Cross multiply
    1,018.15x = 1,405.03 × 570.00
  4. Step 4: Simplify right side
    1,018.15x = 800,857.22
  5. Step 5: Solve for x
    x = 800,857.22/1,018.15
  6. Step 6: Final answer
    x = 786.58

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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.