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Finding the Fourth Proportional to 772.64, 1,158.91 and 245.53

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Solution

The fourth proportional to 772.64, 1,158.91 and 245.53 is: 368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,158.91 = 245.53 : x
  2. Step 2: Convert to fraction form
    772.64/1,158.91 = 245.53/x
  3. Step 3: Cross multiply
    772.64x = 1,158.91 × 245.53
  4. Step 4: Simplify right side
    772.64x = 284,547.17
  5. Step 5: Solve for x
    x = 284,547.17/772.64
  6. Step 6: Final answer
    x = 368.28

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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.