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Finding the Fourth Proportional to 1,308.64, 1,962.96 and 578.08

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Solution

The fourth proportional to 1,308.64, 1,962.96 and 578.08 is: 867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.64 : 1,962.96 = 578.08 : x
  2. Step 2: Convert to fraction form
    1,308.64/1,962.96 = 578.08/x
  3. Step 3: Cross multiply
    1,308.64x = 1,962.96 × 578.08
  4. Step 4: Simplify right side
    1,308.64x = 1,134,747.92
  5. Step 5: Solve for x
    x = 1,134,747.92/1,308.64
  6. Step 6: Final answer
    x = 867.12

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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.