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Finding the Fourth Proportional to 1,258.48, 1,887.76 and 528.24

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Solution

The fourth proportional to 1,258.48, 1,887.76 and 528.24 is: 792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.48 : 1,887.76 = 528.24 : x
  2. Step 2: Convert to fraction form
    1,258.48/1,887.76 = 528.24/x
  3. Step 3: Cross multiply
    1,258.48x = 1,887.76 × 528.24
  4. Step 4: Simplify right side
    1,258.48x = 997,190.34
  5. Step 5: Solve for x
    x = 997,190.34/1,258.48
  6. Step 6: Final answer
    x = 792.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.