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Finding the Fourth Proportional to 1,113.93, 1,671.03 and 464.67

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Solution

The fourth proportional to 1,113.93, 1,671.03 and 464.67 is: 697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.93 : 1,671.03 = 464.67 : x
  2. Step 2: Convert to fraction form
    1,113.93/1,671.03 = 464.67/x
  3. Step 3: Cross multiply
    1,113.93x = 1,671.03 × 464.67
  4. Step 4: Simplify right side
    1,113.93x = 776,477.51
  5. Step 5: Solve for x
    x = 776,477.51/1,113.93
  6. Step 6: Final answer
    x = 697.06

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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.