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Finding the Fourth Proportional to 1,114.38, 1,670.47 and 528.36

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Solution

The fourth proportional to 1,114.38, 1,670.47 and 528.36 is: 792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.38 : 1,670.47 = 528.36 : x
  2. Step 2: Convert to fraction form
    1,114.38/1,670.47 = 528.36/x
  3. Step 3: Cross multiply
    1,114.38x = 1,670.47 × 528.36
  4. Step 4: Simplify right side
    1,114.38x = 882,602.50
  5. Step 5: Solve for x
    x = 882,602.50/1,114.38
  6. Step 6: Final answer
    x = 792.01

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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.