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Finding the Fourth Proportional to 652.96, 978.54 and 465.58

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Solution

The fourth proportional to 652.96, 978.54 and 465.58 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.96 : 978.54 = 465.58 : x
  2. Step 2: Convert to fraction form
    652.96/978.54 = 465.58/x
  3. Step 3: Cross multiply
    652.96x = 978.54 × 465.58
  4. Step 4: Simplify right side
    652.96x = 455,588.65
  5. Step 5: Solve for x
    x = 455,588.65/652.96
  6. Step 6: Final answer
    x = 697.73

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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.