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Finding the Fourth Proportional to 743.02, 1,024.65 and 490.49

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Solution

The fourth proportional to 743.02, 1,024.65 and 490.49 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.02 : 1,024.65 = 490.49 : x
  2. Step 2: Convert to fraction form
    743.02/1,024.65 = 490.49/x
  3. Step 3: Cross multiply
    743.02x = 1,024.65 × 490.49
  4. Step 4: Simplify right side
    743.02x = 502,580.58
  5. Step 5: Solve for x
    x = 502,580.58/743.02
  6. Step 6: Final answer
    x = 676.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.