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Finding the Fourth Proportional to 750.76, 1,036.70 and 471.47

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Solution

The fourth proportional to 750.76, 1,036.70 and 471.47 is: 651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.76 : 1,036.70 = 471.47 : x
  2. Step 2: Convert to fraction form
    750.76/1,036.70 = 471.47/x
  3. Step 3: Cross multiply
    750.76x = 1,036.70 × 471.47
  4. Step 4: Simplify right side
    750.76x = 488,776.72
  5. Step 5: Solve for x
    x = 488,776.72/750.76
  6. Step 6: Final answer
    x = 651.04

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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.