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Finding the Fourth Proportional to 1,214.40, 1,675.17 and 690.33

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Solution

The fourth proportional to 1,214.40, 1,675.17 and 690.33 is: 952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.40 : 1,675.17 = 690.33 : x
  2. Step 2: Convert to fraction form
    1,214.40/1,675.17 = 690.33/x
  3. Step 3: Cross multiply
    1,214.40x = 1,675.17 × 690.33
  4. Step 4: Simplify right side
    1,214.40x = 1,156,420.11
  5. Step 5: Solve for x
    x = 1,156,420.11/1,214.40
  6. Step 6: Final answer
    x = 952.26

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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.