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Finding the Fourth Proportional to 1,214.32, 1,675.74 and 690.28

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Solution

The fourth proportional to 1,214.32, 1,675.74 and 690.28 is: 952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.32 : 1,675.74 = 690.28 : x
  2. Step 2: Convert to fraction form
    1,214.32/1,675.74 = 690.28/x
  3. Step 3: Cross multiply
    1,214.32x = 1,675.74 × 690.28
  4. Step 4: Simplify right side
    1,214.32x = 1,156,729.81
  5. Step 5: Solve for x
    x = 1,156,729.81/1,214.32
  6. Step 6: Final answer
    x = 952.57

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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.