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Finding the Fourth Proportional to 765.84, 1,056.86 and 471.04

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Solution

The fourth proportional to 765.84, 1,056.86 and 471.04 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,056.86 = 471.04 : x
  2. Step 2: Convert to fraction form
    765.84/1,056.86 = 471.04/x
  3. Step 3: Cross multiply
    765.84x = 1,056.86 × 471.04
  4. Step 4: Simplify right side
    765.84x = 497,823.33
  5. Step 5: Solve for x
    x = 497,823.33/765.84
  6. Step 6: Final answer
    x = 650.04

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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.