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Finding the Fourth Proportional to 1,070.44, 1,598.20 and 1,004.84

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Solution

The fourth proportional to 1,070.44, 1,598.20 and 1,004.84 is: 1,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.44 : 1,598.20 = 1,004.84 : x
  2. Step 2: Convert to fraction form
    1,070.44/1,598.20 = 1,004.84/x
  3. Step 3: Cross multiply
    1,070.44x = 1,598.20 × 1,004.84
  4. Step 4: Simplify right side
    1,070.44x = 1,605,935.29
  5. Step 5: Solve for x
    x = 1,605,935.29/1,070.44
  6. Step 6: Final answer
    x = 1,500.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.