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Finding the Fourth Proportional to 751.60, 1,036.40 and 471.74

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Solution

The fourth proportional to 751.60, 1,036.40 and 471.74 is: 650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.60 : 1,036.40 = 471.74 : x
  2. Step 2: Convert to fraction form
    751.60/1,036.40 = 471.74/x
  3. Step 3: Cross multiply
    751.60x = 1,036.40 × 471.74
  4. Step 4: Simplify right side
    751.60x = 488,911.34
  5. Step 5: Solve for x
    x = 488,911.34/751.60
  6. Step 6: Final answer
    x = 650.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.