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Finding the Fourth Proportional to 1,580.99, 2,370.53 and 811.07

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Solution

The fourth proportional to 1,580.99, 2,370.53 and 811.07 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.99 : 2,370.53 = 811.07 : x
  2. Step 2: Convert to fraction form
    1,580.99/2,370.53 = 811.07/x
  3. Step 3: Cross multiply
    1,580.99x = 2,370.53 × 811.07
  4. Step 4: Simplify right side
    1,580.99x = 1,922,661.71
  5. Step 5: Solve for x
    x = 1,922,661.71/1,580.99
  6. Step 6: Final answer
    x = 1,216.11

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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.