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Finding the Fourth Proportional to 1,256.16, 1,883.52 and 434.21

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Solution

The fourth proportional to 1,256.16, 1,883.52 and 434.21 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.16 : 1,883.52 = 434.21 : x
  2. Step 2: Convert to fraction form
    1,256.16/1,883.52 = 434.21/x
  3. Step 3: Cross multiply
    1,256.16x = 1,883.52 × 434.21
  4. Step 4: Simplify right side
    1,256.16x = 817,843.22
  5. Step 5: Solve for x
    x = 817,843.22/1,256.16
  6. Step 6: Final answer
    x = 651.07

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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.