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Finding the Fourth Proportional to 1,250.32, 1,875.14 and 428.32

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Solution

The fourth proportional to 1,250.32, 1,875.14 and 428.32 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.32 : 1,875.14 = 428.32 : x
  2. Step 2: Convert to fraction form
    1,250.32/1,875.14 = 428.32/x
  3. Step 3: Cross multiply
    1,250.32x = 1,875.14 × 428.32
  4. Step 4: Simplify right side
    1,250.32x = 803,159.96
  5. Step 5: Solve for x
    x = 803,159.96/1,250.32
  6. Step 6: Final answer
    x = 642.36

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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.