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Finding the Fourth Proportional to 1,018.77, 1,527.67 and 745.93

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Solution

The fourth proportional to 1,018.77, 1,527.67 and 745.93 is: 1,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.77 : 1,527.67 = 745.93 : x
  2. Step 2: Convert to fraction form
    1,018.77/1,527.67 = 745.93/x
  3. Step 3: Cross multiply
    1,018.77x = 1,527.67 × 745.93
  4. Step 4: Simplify right side
    1,018.77x = 1,139,534.88
  5. Step 5: Solve for x
    x = 1,139,534.88/1,018.77
  6. Step 6: Final answer
    x = 1,118.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.