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Finding the Fourth Proportional to 914.70, 1,262.53 and 565.19

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Solution

The fourth proportional to 914.70, 1,262.53 and 565.19 is: 780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.70 : 1,262.53 = 565.19 : x
  2. Step 2: Convert to fraction form
    914.70/1,262.53 = 565.19/x
  3. Step 3: Cross multiply
    914.70x = 1,262.53 × 565.19
  4. Step 4: Simplify right side
    914.70x = 713,569.33
  5. Step 5: Solve for x
    x = 713,569.33/914.70
  6. Step 6: Final answer
    x = 780.11

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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.