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Finding the Fourth Proportional to 914.04, 1,261.92 and 565.20

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Solution

The fourth proportional to 914.04, 1,261.92 and 565.20 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.04 : 1,261.92 = 565.20 : x
  2. Step 2: Convert to fraction form
    914.04/1,261.92 = 565.20/x
  3. Step 3: Cross multiply
    914.04x = 1,261.92 × 565.20
  4. Step 4: Simplify right side
    914.04x = 713,237.18
  5. Step 5: Solve for x
    x = 713,237.18/914.04
  6. Step 6: Final answer
    x = 780.31

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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.