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Finding the Fourth Proportional to 1,117.02, 1,675.33 and 423.46

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Solution

The fourth proportional to 1,117.02, 1,675.33 and 423.46 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,675.33 = 423.46 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,675.33 = 423.46/x
  3. Step 3: Cross multiply
    1,117.02x = 1,675.33 × 423.46
  4. Step 4: Simplify right side
    1,117.02x = 709,431.57
  5. Step 5: Solve for x
    x = 709,431.57/1,117.02
  6. Step 6: Final answer
    x = 635.11

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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.