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Finding the Fourth Proportional to 1,036.41, 1,429.95 and 637.94

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Solution

The fourth proportional to 1,036.41, 1,429.95 and 637.94 is: 880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.41 : 1,429.95 = 637.94 : x
  2. Step 2: Convert to fraction form
    1,036.41/1,429.95 = 637.94/x
  3. Step 3: Cross multiply
    1,036.41x = 1,429.95 × 637.94
  4. Step 4: Simplify right side
    1,036.41x = 912,228.27
  5. Step 5: Solve for x
    x = 912,228.27/1,036.41
  6. Step 6: Final answer
    x = 880.18

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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.