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Finding the Fourth Proportional to 1,465.01, 2,197.08 and 477.84

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Solution

The fourth proportional to 1,465.01, 2,197.08 and 477.84 is: 716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.01 : 2,197.08 = 477.84 : x
  2. Step 2: Convert to fraction form
    1,465.01/2,197.08 = 477.84/x
  3. Step 3: Cross multiply
    1,465.01x = 2,197.08 × 477.84
  4. Step 4: Simplify right side
    1,465.01x = 1,049,852.71
  5. Step 5: Solve for x
    x = 1,049,852.71/1,465.01
  6. Step 6: Final answer
    x = 716.62

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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.