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Finding the Fourth Proportional to 765.45, 1,056.29 and 470.67

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Solution

The fourth proportional to 765.45, 1,056.29 and 470.67 is: 649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,056.29 = 470.67 : x
  2. Step 2: Convert to fraction form
    765.45/1,056.29 = 470.67/x
  3. Step 3: Cross multiply
    765.45x = 1,056.29 × 470.67
  4. Step 4: Simplify right side
    765.45x = 497,159.91
  5. Step 5: Solve for x
    x = 497,159.91/765.45
  6. Step 6: Final answer
    x = 649.50

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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.