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Finding the Fourth Proportional to 672.96, 929.76 and 562.08

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Solution

The fourth proportional to 672.96, 929.76 and 562.08 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.96 : 929.76 = 562.08 : x
  2. Step 2: Convert to fraction form
    672.96/929.76 = 562.08/x
  3. Step 3: Cross multiply
    672.96x = 929.76 × 562.08
  4. Step 4: Simplify right side
    672.96x = 522,599.50
  5. Step 5: Solve for x
    x = 522,599.50/672.96
  6. Step 6: Final answer
    x = 776.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.