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Finding the Fourth Proportional to 740.39, 1,021.14 and 477.95

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Solution

The fourth proportional to 740.39, 1,021.14 and 477.95 is: 659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.39 : 1,021.14 = 477.95 : x
  2. Step 2: Convert to fraction form
    740.39/1,021.14 = 477.95/x
  3. Step 3: Cross multiply
    740.39x = 1,021.14 × 477.95
  4. Step 4: Simplify right side
    740.39x = 488,048.76
  5. Step 5: Solve for x
    x = 488,048.76/740.39
  6. Step 6: Final answer
    x = 659.18

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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.