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Finding the Fourth Proportional to 560, 767.06 and 552.96

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Solution

The fourth proportional to 560, 767.06 and 552.96 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560 : 767.06 = 552.96 : x
  2. Step 2: Convert to fraction form
    560/767.06 = 552.96/x
  3. Step 3: Cross multiply
    560x = 767.06 × 552.96
  4. Step 4: Simplify right side
    560x = 424,153.50
  5. Step 5: Solve for x
    x = 424,153.50/560
  6. Step 6: Final answer
    x = 757.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.