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Finding the Fourth Proportional to 1,297.07, 1,788.75 and 854.20

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Solution

The fourth proportional to 1,297.07, 1,788.75 and 854.20 is: 1,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.07 : 1,788.75 = 854.20 : x
  2. Step 2: Convert to fraction form
    1,297.07/1,788.75 = 854.20/x
  3. Step 3: Cross multiply
    1,297.07x = 1,788.75 × 854.20
  4. Step 4: Simplify right side
    1,297.07x = 1,527,950.25
  5. Step 5: Solve for x
    x = 1,527,950.25/1,297.07
  6. Step 6: Final answer
    x = 1,178.00

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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.