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Finding the Fourth Proportional to 765.96, 1,055.28 and 569.16

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Solution

The fourth proportional to 765.96, 1,055.28 and 569.16 is: 784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,055.28 = 569.16 : x
  2. Step 2: Convert to fraction form
    765.96/1,055.28 = 569.16/x
  3. Step 3: Cross multiply
    765.96x = 1,055.28 × 569.16
  4. Step 4: Simplify right side
    765.96x = 600,623.16
  5. Step 5: Solve for x
    x = 600,623.16/765.96
  6. Step 6: Final answer
    x = 784.14

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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.