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Finding the Fourth Proportional to 907.08, 1,251.80 and 514.12

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Solution

The fourth proportional to 907.08, 1,251.80 and 514.12 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.08 : 1,251.80 = 514.12 : x
  2. Step 2: Convert to fraction form
    907.08/1,251.80 = 514.12/x
  3. Step 3: Cross multiply
    907.08x = 1,251.80 × 514.12
  4. Step 4: Simplify right side
    907.08x = 643,575.42
  5. Step 5: Solve for x
    x = 643,575.42/907.08
  6. Step 6: Final answer
    x = 709.50

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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.