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Finding the Fourth Proportional to 1,065.12, 1,470.36 and 711.63

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Solution

The fourth proportional to 1,065.12, 1,470.36 and 711.63 is: 982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.12 : 1,470.36 = 711.63 : x
  2. Step 2: Convert to fraction form
    1,065.12/1,470.36 = 711.63/x
  3. Step 3: Cross multiply
    1,065.12x = 1,470.36 × 711.63
  4. Step 4: Simplify right side
    1,065.12x = 1,046,352.29
  5. Step 5: Solve for x
    x = 1,046,352.29/1,065.12
  6. Step 6: Final answer
    x = 982.38

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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.