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Finding the Fourth Proportional to 1,017.04, 1,525.72 and 359.00

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Solution

The fourth proportional to 1,017.04, 1,525.72 and 359.00 is: 538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.04 : 1,525.72 = 359.00 : x
  2. Step 2: Convert to fraction form
    1,017.04/1,525.72 = 359.00/x
  3. Step 3: Cross multiply
    1,017.04x = 1,525.72 × 359.00
  4. Step 4: Simplify right side
    1,017.04x = 547,736.40
  5. Step 5: Solve for x
    x = 547,736.40/1,017.04
  6. Step 6: Final answer
    x = 538.56

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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.