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Finding the Fourth Proportional to 652.93, 978.31 and 460.15

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Solution

The fourth proportional to 652.93, 978.31 and 460.15 is: 689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.93 : 978.31 = 460.15 : x
  2. Step 2: Convert to fraction form
    652.93/978.31 = 460.15/x
  3. Step 3: Cross multiply
    652.93x = 978.31 × 460.15
  4. Step 4: Simplify right side
    652.93x = 450,169.35
  5. Step 5: Solve for x
    x = 450,169.35/652.93
  6. Step 6: Final answer
    x = 689.46

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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.