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Finding the Fourth Proportional to 1,512.99, 2,269.23 and 417.47

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Solution

The fourth proportional to 1,512.99, 2,269.23 and 417.47 is: 626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.99 : 2,269.23 = 417.47 : x
  2. Step 2: Convert to fraction form
    1,512.99/2,269.23 = 417.47/x
  3. Step 3: Cross multiply
    1,512.99x = 2,269.23 × 417.47
  4. Step 4: Simplify right side
    1,512.99x = 947,324.10
  5. Step 5: Solve for x
    x = 947,324.10/1,512.99
  6. Step 6: Final answer
    x = 626.13

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1.5x scale

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.