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Finding the Fourth Proportional to 1,225.52, 1,691.03 and 701.45

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Solution

The fourth proportional to 1,225.52, 1,691.03 and 701.45 is: 967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.52 : 1,691.03 = 701.45 : x
  2. Step 2: Convert to fraction form
    1,225.52/1,691.03 = 701.45/x
  3. Step 3: Cross multiply
    1,225.52x = 1,691.03 × 701.45
  4. Step 4: Simplify right side
    1,225.52x = 1,186,161.03
  5. Step 5: Solve for x
    x = 1,186,161.03/1,225.52
  6. Step 6: Final answer
    x = 967.89

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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.