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Finding the Fourth Proportional to 765.51, 1,056.39 and 470.77

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Solution

The fourth proportional to 765.51, 1,056.39 and 470.77 is: 649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.51 : 1,056.39 = 470.77 : x
  2. Step 2: Convert to fraction form
    765.51/1,056.39 = 470.77/x
  3. Step 3: Cross multiply
    765.51x = 1,056.39 × 470.77
  4. Step 4: Simplify right side
    765.51x = 497,316.72
  5. Step 5: Solve for x
    x = 497,316.72/765.51
  6. Step 6: Final answer
    x = 649.65

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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.