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Finding the Fourth Proportional to 1,216.51, 1,823.16 and 777.74

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Solution

The fourth proportional to 1,216.51, 1,823.16 and 777.74 is: 1,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.51 : 1,823.16 = 777.74 : x
  2. Step 2: Convert to fraction form
    1,216.51/1,823.16 = 777.74/x
  3. Step 3: Cross multiply
    1,216.51x = 1,823.16 × 777.74
  4. Step 4: Simplify right side
    1,216.51x = 1,417,944.46
  5. Step 5: Solve for x
    x = 1,417,944.46/1,216.51
  6. Step 6: Final answer
    x = 1,165.58

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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.