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Finding the Fourth Proportional to 1,377.16, 2,065.84 and 597.32

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Solution

The fourth proportional to 1,377.16, 2,065.84 and 597.32 is: 896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.16 : 2,065.84 = 597.32 : x
  2. Step 2: Convert to fraction form
    1,377.16/2,065.84 = 597.32/x
  3. Step 3: Cross multiply
    1,377.16x = 2,065.84 × 597.32
  4. Step 4: Simplify right side
    1,377.16x = 1,233,967.55
  5. Step 5: Solve for x
    x = 1,233,967.55/1,377.16
  6. Step 6: Final answer
    x = 896.02

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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.