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Finding the Fourth Proportional to 751.32, 1,126.14 and 535.32

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Solution

The fourth proportional to 751.32, 1,126.14 and 535.32 is: 802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.32 : 1,126.14 = 535.32 : x
  2. Step 2: Convert to fraction form
    751.32/1,126.14 = 535.32/x
  3. Step 3: Cross multiply
    751.32x = 1,126.14 × 535.32
  4. Step 4: Simplify right side
    751.32x = 602,845.26
  5. Step 5: Solve for x
    x = 602,845.26/751.32
  6. Step 6: Final answer
    x = 802.38

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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.