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Finding the Fourth Proportional to 753.06, 1,038.36 and 564.06

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Solution

The fourth proportional to 753.06, 1,038.36 and 564.06 is: 777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.06 : 1,038.36 = 564.06 : x
  2. Step 2: Convert to fraction form
    753.06/1,038.36 = 564.06/x
  3. Step 3: Cross multiply
    753.06x = 1,038.36 × 564.06
  4. Step 4: Simplify right side
    753.06x = 585,697.34
  5. Step 5: Solve for x
    x = 585,697.34/753.06
  6. Step 6: Final answer
    x = 777.76

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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.