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Finding the Fourth Proportional to 1,013.46, 1,518.14 and 601.36

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Solution

The fourth proportional to 1,013.46, 1,518.14 and 601.36 is: 900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.46 : 1,518.14 = 601.36 : x
  2. Step 2: Convert to fraction form
    1,013.46/1,518.14 = 601.36/x
  3. Step 3: Cross multiply
    1,013.46x = 1,518.14 × 601.36
  4. Step 4: Simplify right side
    1,013.46x = 912,948.67
  5. Step 5: Solve for x
    x = 912,948.67/1,013.46
  6. Step 6: Final answer
    x = 900.82

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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.