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Finding the Fourth Proportional to 1,727.33, 2,590.65 and 573.08

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Solution

The fourth proportional to 1,727.33, 2,590.65 and 573.08 is: 859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.33 : 2,590.65 = 573.08 : x
  2. Step 2: Convert to fraction form
    1,727.33/2,590.65 = 573.08/x
  3. Step 3: Cross multiply
    1,727.33x = 2,590.65 × 573.08
  4. Step 4: Simplify right side
    1,727.33x = 1,484,636.75
  5. Step 5: Solve for x
    x = 1,484,636.75/1,727.33
  6. Step 6: Final answer
    x = 859.50

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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.