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Finding the Fourth Proportional to 903.78, 1,356.13 and 707.56

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Solution

The fourth proportional to 903.78, 1,356.13 and 707.56 is: 1,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.78 : 1,356.13 = 707.56 : x
  2. Step 2: Convert to fraction form
    903.78/1,356.13 = 707.56/x
  3. Step 3: Cross multiply
    903.78x = 1,356.13 × 707.56
  4. Step 4: Simplify right side
    903.78x = 959,536.86
  5. Step 5: Solve for x
    x = 959,536.86/903.78
  6. Step 6: Final answer
    x = 1,061.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.