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Finding the Fourth Proportional to 914.36, 1,262 and 565.36

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Solution

The fourth proportional to 914.36, 1,262 and 565.36 is: 780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.36 : 1,262 = 565.36 : x
  2. Step 2: Convert to fraction form
    914.36/1,262 = 565.36/x
  3. Step 3: Cross multiply
    914.36x = 1,262 × 565.36
  4. Step 4: Simplify right side
    914.36x = 713,484.32
  5. Step 5: Solve for x
    x = 713,484.32/914.36
  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.