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Finding the Fourth Proportional to 1,007.70, 1,512.18 and 460.14

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Solution

The fourth proportional to 1,007.70, 1,512.18 and 460.14 is: 690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.70 : 1,512.18 = 460.14 : x
  2. Step 2: Convert to fraction form
    1,007.70/1,512.18 = 460.14/x
  3. Step 3: Cross multiply
    1,007.70x = 1,512.18 × 460.14
  4. Step 4: Simplify right side
    1,007.70x = 695,814.51
  5. Step 5: Solve for x
    x = 695,814.51/1,007.70
  6. Step 6: Final answer
    x = 690.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.