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Finding the Fourth Proportional to 1,140.25, 1,573.50 and 642.99

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Solution

The fourth proportional to 1,140.25, 1,573.50 and 642.99 is: 887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.25 : 1,573.50 = 642.99 : x
  2. Step 2: Convert to fraction form
    1,140.25/1,573.50 = 642.99/x
  3. Step 3: Cross multiply
    1,140.25x = 1,573.50 × 642.99
  4. Step 4: Simplify right side
    1,140.25x = 1,011,743.23
  5. Step 5: Solve for x
    x = 1,011,743.23/1,140.25
  6. Step 6: Final answer
    x = 887.30

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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.