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Finding the Fourth Proportional to 652.80, 978.12 and 460.02

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Solution

The fourth proportional to 652.80, 978.12 and 460.02 is: 689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 978.12 = 460.02 : x
  2. Step 2: Convert to fraction form
    652.80/978.12 = 460.02/x
  3. Step 3: Cross multiply
    652.80x = 978.12 × 460.02
  4. Step 4: Simplify right side
    652.80x = 449,954.76
  5. Step 5: Solve for x
    x = 449,954.76/652.80
  6. Step 6: Final answer
    x = 689.27

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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.