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Finding the Fourth Proportional to 1,036.39, 1,553.77 and 420.25

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Solution

The fourth proportional to 1,036.39, 1,553.77 and 420.25 is: 630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.39 : 1,553.77 = 420.25 : x
  2. Step 2: Convert to fraction form
    1,036.39/1,553.77 = 420.25/x
  3. Step 3: Cross multiply
    1,036.39x = 1,553.77 × 420.25
  4. Step 4: Simplify right side
    1,036.39x = 652,971.84
  5. Step 5: Solve for x
    x = 652,971.84/1,036.39
  6. Step 6: Final answer
    x = 630.04

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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.