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Finding the Fourth Proportional to 1,256.86, 1,885.62 and 554.13

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Solution

The fourth proportional to 1,256.86, 1,885.62 and 554.13 is: 831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.86 : 1,885.62 = 554.13 : x
  2. Step 2: Convert to fraction form
    1,256.86/1,885.62 = 554.13/x
  3. Step 3: Cross multiply
    1,256.86x = 1,885.62 × 554.13
  4. Step 4: Simplify right side
    1,256.86x = 1,044,873.62
  5. Step 5: Solve for x
    x = 1,044,873.62/1,256.86
  6. Step 6: Final answer
    x = 831.34

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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.