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Finding the Fourth Proportional to 1,135.93, 1,567.56 and 638.50

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Solution

The fourth proportional to 1,135.93, 1,567.56 and 638.50 is: 881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.93 : 1,567.56 = 638.50 : x
  2. Step 2: Convert to fraction form
    1,135.93/1,567.56 = 638.50/x
  3. Step 3: Cross multiply
    1,135.93x = 1,567.56 × 638.50
  4. Step 4: Simplify right side
    1,135.93x = 1,000,887.06
  5. Step 5: Solve for x
    x = 1,000,887.06/1,135.93
  6. Step 6: Final answer
    x = 881.12

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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.