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Finding the Fourth Proportional to 1,585.69, 2,378.38 and 708.23

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Solution

The fourth proportional to 1,585.69, 2,378.38 and 708.23 is: 1,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,378.38 = 708.23 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,378.38 = 708.23/x
  3. Step 3: Cross multiply
    1,585.69x = 2,378.38 × 708.23
  4. Step 4: Simplify right side
    1,585.69x = 1,684,440.07
  5. Step 5: Solve for x
    x = 1,684,440.07/1,585.69
  6. Step 6: Final answer
    x = 1,062.28

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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.