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Finding the Fourth Proportional to 1,325.86, 1,987.56 and 459.57

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Solution

The fourth proportional to 1,325.86, 1,987.56 and 459.57 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.86 : 1,987.56 = 459.57 : x
  2. Step 2: Convert to fraction form
    1,325.86/1,987.56 = 459.57/x
  3. Step 3: Cross multiply
    1,325.86x = 1,987.56 × 459.57
  4. Step 4: Simplify right side
    1,325.86x = 913,422.95
  5. Step 5: Solve for x
    x = 913,422.95/1,325.86
  6. Step 6: Final answer
    x = 688.93

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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.