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Finding the Fourth Proportional to 967.77, 1,335.54 and 525.68

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Solution

The fourth proportional to 967.77, 1,335.54 and 525.68 is: 725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.77 : 1,335.54 = 525.68 : x
  2. Step 2: Convert to fraction form
    967.77/1,335.54 = 525.68/x
  3. Step 3: Cross multiply
    967.77x = 1,335.54 × 525.68
  4. Step 4: Simplify right side
    967.77x = 702,062.13
  5. Step 5: Solve for x
    x = 702,062.13/967.77
  6. Step 6: Final answer
    x = 725.44

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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.