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Finding the Fourth Proportional to 924.32, 1,275.49 and 525.88

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Solution

The fourth proportional to 924.32, 1,275.49 and 525.88 is: 725.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,275.49 = 525.88 : x
  2. Step 2: Convert to fraction form
    924.32/1,275.49 = 525.88/x
  3. Step 3: Cross multiply
    924.32x = 1,275.49 × 525.88
  4. Step 4: Simplify right side
    924.32x = 670,752.57
  5. Step 5: Solve for x
    x = 670,752.57/924.32
  6. Step 6: Final answer
    x = 725.67

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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.