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Finding the Fourth Proportional to 1,464.16, 2,196.48 and 642.40

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Solution

The fourth proportional to 1,464.16, 2,196.48 and 642.40 is: 963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.16 : 2,196.48 = 642.40 : x
  2. Step 2: Convert to fraction form
    1,464.16/2,196.48 = 642.40/x
  3. Step 3: Cross multiply
    1,464.16x = 2,196.48 × 642.40
  4. Step 4: Simplify right side
    1,464.16x = 1,411,018.75
  5. Step 5: Solve for x
    x = 1,411,018.75/1,464.16
  6. Step 6: Final answer
    x = 963.71

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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.