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Finding the Fourth Proportional to 1,312.13, 1,967.48 and 652.55

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Solution

The fourth proportional to 1,312.13, 1,967.48 and 652.55 is: 978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.13 : 1,967.48 = 652.55 : x
  2. Step 2: Convert to fraction form
    1,312.13/1,967.48 = 652.55/x
  3. Step 3: Cross multiply
    1,312.13x = 1,967.48 × 652.55
  4. Step 4: Simplify right side
    1,312.13x = 1,283,880.73
  5. Step 5: Solve for x
    x = 1,283,880.73/1,312.13
  6. Step 6: Final answer
    x = 978.47

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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.