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Finding the Fourth Proportional to 907.19, 1,252.14 and 514.34

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Solution

The fourth proportional to 907.19, 1,252.14 and 514.34 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.19 : 1,252.14 = 514.34 : x
  2. Step 2: Convert to fraction form
    907.19/1,252.14 = 514.34/x
  3. Step 3: Cross multiply
    907.19x = 1,252.14 × 514.34
  4. Step 4: Simplify right side
    907.19x = 644,025.69
  5. Step 5: Solve for x
    x = 644,025.69/907.19
  6. Step 6: Final answer
    x = 709.91

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Half scale
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Double scale
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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.