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Finding the Fourth Proportional to 1,262.25, 1,741.91 and 710.25

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Solution

The fourth proportional to 1,262.25, 1,741.91 and 710.25 is: 980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 1,741.91 = 710.25 : x
  2. Step 2: Convert to fraction form
    1,262.25/1,741.91 = 710.25/x
  3. Step 3: Cross multiply
    1,262.25x = 1,741.91 × 710.25
  4. Step 4: Simplify right side
    1,262.25x = 1,237,191.58
  5. Step 5: Solve for x
    x = 1,237,191.58/1,262.25
  6. Step 6: Final answer
    x = 980.15

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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.