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Finding the Fourth Proportional to 1,501.76, 2,252.36 and 528.14

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Solution

The fourth proportional to 1,501.76, 2,252.36 and 528.14 is: 792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.76 : 2,252.36 = 528.14 : x
  2. Step 2: Convert to fraction form
    1,501.76/2,252.36 = 528.14/x
  3. Step 3: Cross multiply
    1,501.76x = 2,252.36 × 528.14
  4. Step 4: Simplify right side
    1,501.76x = 1,189,561.41
  5. Step 5: Solve for x
    x = 1,189,561.41/1,501.76
  6. Step 6: Final answer
    x = 792.11

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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.