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Finding the Fourth Proportional to 2,298.79, 3,448.73 and 655.36

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Solution

The fourth proportional to 2,298.79, 3,448.73 and 655.36 is: 983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.79 : 3,448.73 = 655.36 : x
  2. Step 2: Convert to fraction form
    2,298.79/3,448.73 = 655.36/x
  3. Step 3: Cross multiply
    2,298.79x = 3,448.73 × 655.36
  4. Step 4: Simplify right side
    2,298.79x = 2,260,159.69
  5. Step 5: Solve for x
    x = 2,260,159.69/2,298.79
  6. Step 6: Final answer
    x = 983.20

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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.