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Finding the Fourth Proportional to 764.61, 1,056.71 and 578.04

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Solution

The fourth proportional to 764.61, 1,056.71 and 578.04 is: 798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.61 : 1,056.71 = 578.04 : x
  2. Step 2: Convert to fraction form
    764.61/1,056.71 = 578.04/x
  3. Step 3: Cross multiply
    764.61x = 1,056.71 × 578.04
  4. Step 4: Simplify right side
    764.61x = 610,818.13
  5. Step 5: Solve for x
    x = 610,818.13/764.61
  6. Step 6: Final answer
    x = 798.87

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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.