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Finding the Fourth Proportional to 1,007.25, 1,509.93 and 357.63

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Solution

The fourth proportional to 1,007.25, 1,509.93 and 357.63 is: 536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.25 : 1,509.93 = 357.63 : x
  2. Step 2: Convert to fraction form
    1,007.25/1,509.93 = 357.63/x
  3. Step 3: Cross multiply
    1,007.25x = 1,509.93 × 357.63
  4. Step 4: Simplify right side
    1,007.25x = 539,996.27
  5. Step 5: Solve for x
    x = 539,996.27/1,007.25
  6. Step 6: Final answer
    x = 536.11

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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.