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Finding the Fourth Proportional to 1,135.69, 1,567.28 and 638.35

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Solution

The fourth proportional to 1,135.69, 1,567.28 and 638.35 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.69 : 1,567.28 = 638.35 : x
  2. Step 2: Convert to fraction form
    1,135.69/1,567.28 = 638.35/x
  3. Step 3: Cross multiply
    1,135.69x = 1,567.28 × 638.35
  4. Step 4: Simplify right side
    1,135.69x = 1,000,470.87
  5. Step 5: Solve for x
    x = 1,000,470.87/1,135.69
  6. Step 6: Final answer
    x = 880.94

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1.5x scale

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.