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Finding the Fourth Proportional to 1,101.50, 1,652.25 and 417.50

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Solution

The fourth proportional to 1,101.50, 1,652.25 and 417.50 is: 626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.50 : 1,652.25 = 417.50 : x
  2. Step 2: Convert to fraction form
    1,101.50/1,652.25 = 417.50/x
  3. Step 3: Cross multiply
    1,101.50x = 1,652.25 × 417.50
  4. Step 4: Simplify right side
    1,101.50x = 689,814.38
  5. Step 5: Solve for x
    x = 689,814.38/1,101.50
  6. Step 6: Final answer
    x = 626.25

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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.