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Finding the Fourth Proportional to 1,475.10, 2,212.06 and 652.81

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Solution

The fourth proportional to 1,475.10, 2,212.06 and 652.81 is: 978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.10 : 2,212.06 = 652.81 : x
  2. Step 2: Convert to fraction form
    1,475.10/2,212.06 = 652.81/x
  3. Step 3: Cross multiply
    1,475.10x = 2,212.06 × 652.81
  4. Step 4: Simplify right side
    1,475.10x = 1,444,054.89
  5. Step 5: Solve for x
    x = 1,444,054.89/1,475.10
  6. Step 6: Final answer
    x = 978.95

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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.