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Finding the Fourth Proportional to 1,465.95, 2,197.05 and 599.23

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Solution

The fourth proportional to 1,465.95, 2,197.05 and 599.23 is: 898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.95 : 2,197.05 = 599.23 : x
  2. Step 2: Convert to fraction form
    1,465.95/2,197.05 = 599.23/x
  3. Step 3: Cross multiply
    1,465.95x = 2,197.05 × 599.23
  4. Step 4: Simplify right side
    1,465.95x = 1,316,535.28
  5. Step 5: Solve for x
    x = 1,316,535.28/1,465.95
  6. Step 6: Final answer
    x = 898.08

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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.