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Finding the Fourth Proportional to 751.66, 1,037.26 and 420.10

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Solution

The fourth proportional to 751.66, 1,037.26 and 420.10 is: 579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.66 : 1,037.26 = 420.10 : x
  2. Step 2: Convert to fraction form
    751.66/1,037.26 = 420.10/x
  3. Step 3: Cross multiply
    751.66x = 1,037.26 × 420.10
  4. Step 4: Simplify right side
    751.66x = 435,752.93
  5. Step 5: Solve for x
    x = 435,752.93/751.66
  6. Step 6: Final answer
    x = 579.72

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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.