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Finding the Fourth Proportional to 1,123.10, 1,684.88 and 473.84

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Solution

The fourth proportional to 1,123.10, 1,684.88 and 473.84 is: 710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.10 : 1,684.88 = 473.84 : x
  2. Step 2: Convert to fraction form
    1,123.10/1,684.88 = 473.84/x
  3. Step 3: Cross multiply
    1,123.10x = 1,684.88 × 473.84
  4. Step 4: Simplify right side
    1,123.10x = 798,360.84
  5. Step 5: Solve for x
    x = 798,360.84/1,123.10
  6. Step 6: Final answer
    x = 710.86

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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.