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Finding the Fourth Proportional to 762.25, 1,052.15 and 486.25

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Solution

The fourth proportional to 762.25, 1,052.15 and 486.25 is: 671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.25 : 1,052.15 = 486.25 : x
  2. Step 2: Convert to fraction form
    762.25/1,052.15 = 486.25/x
  3. Step 3: Cross multiply
    762.25x = 1,052.15 × 486.25
  4. Step 4: Simplify right side
    762.25x = 511,605.51
  5. Step 5: Solve for x
    x = 511,605.51/762.25
  6. Step 6: Final answer
    x = 671.18

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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.