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Finding the Fourth Proportional to 1,219.93, 1,681.36 and 972.07

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Solution

The fourth proportional to 1,219.93, 1,681.36 and 972.07 is: 1,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.93 : 1,681.36 = 972.07 : x
  2. Step 2: Convert to fraction form
    1,219.93/1,681.36 = 972.07/x
  3. Step 3: Cross multiply
    1,219.93x = 1,681.36 × 972.07
  4. Step 4: Simplify right side
    1,219.93x = 1,634,399.62
  5. Step 5: Solve for x
    x = 1,634,399.62/1,219.93
  6. Step 6: Final answer
    x = 1,339.75

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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.