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Finding the Fourth Proportional to 1,733.82, 2,598.37 and 637.14

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Solution

The fourth proportional to 1,733.82, 2,598.37 and 637.14 is: 954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.82 : 2,598.37 = 637.14 : x
  2. Step 2: Convert to fraction form
    1,733.82/2,598.37 = 637.14/x
  3. Step 3: Cross multiply
    1,733.82x = 2,598.37 × 637.14
  4. Step 4: Simplify right side
    1,733.82x = 1,655,525.46
  5. Step 5: Solve for x
    x = 1,655,525.46/1,733.82
  6. Step 6: Final answer
    x = 954.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.