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Finding the Fourth Proportional to 1,024.60, 1,538.59 and 693.18

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Solution

The fourth proportional to 1,024.60, 1,538.59 and 693.18 is: 1,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.60 : 1,538.59 = 693.18 : x
  2. Step 2: Convert to fraction form
    1,024.60/1,538.59 = 693.18/x
  3. Step 3: Cross multiply
    1,024.60x = 1,538.59 × 693.18
  4. Step 4: Simplify right side
    1,024.60x = 1,066,519.82
  5. Step 5: Solve for x
    x = 1,066,519.82/1,024.60
  6. Step 6: Final answer
    x = 1,040.91

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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.