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Finding the Fourth Proportional to 1,338.02, 2,005.88 and 597.08

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Solution

The fourth proportional to 1,338.02, 2,005.88 and 597.08 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.02 : 2,005.88 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,338.02/2,005.88 = 597.08/x
  3. Step 3: Cross multiply
    1,338.02x = 2,005.88 × 597.08
  4. Step 4: Simplify right side
    1,338.02x = 1,197,670.83
  5. Step 5: Solve for x
    x = 1,197,670.83/1,338.02
  6. Step 6: Final answer
    x = 895.11

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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.