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Finding the Fourth Proportional to 1,122.64, 1,683.57 and 429.50

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Solution

The fourth proportional to 1,122.64, 1,683.57 and 429.50 is: 644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.64 : 1,683.57 = 429.50 : x
  2. Step 2: Convert to fraction form
    1,122.64/1,683.57 = 429.50/x
  3. Step 3: Cross multiply
    1,122.64x = 1,683.57 × 429.50
  4. Step 4: Simplify right side
    1,122.64x = 723,091.17
  5. Step 5: Solve for x
    x = 723,091.17/1,122.64
  6. Step 6: Final answer
    x = 644.10

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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.