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Finding the Fourth Proportional to 1,329.82, 1,835.14 and 740.42

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Solution

The fourth proportional to 1,329.82, 1,835.14 and 740.42 is: 1,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.82 : 1,835.14 = 740.42 : x
  2. Step 2: Convert to fraction form
    1,329.82/1,835.14 = 740.42/x
  3. Step 3: Cross multiply
    1,329.82x = 1,835.14 × 740.42
  4. Step 4: Simplify right side
    1,329.82x = 1,358,774.36
  5. Step 5: Solve for x
    x = 1,358,774.36/1,329.82
  6. Step 6: Final answer
    x = 1,021.77

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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.