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Finding the Fourth Proportional to 1,325.59, 1,987.80 and 709.18

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Solution

The fourth proportional to 1,325.59, 1,987.80 and 709.18 is: 1,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.59 : 1,987.80 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,325.59/1,987.80 = 709.18/x
  3. Step 3: Cross multiply
    1,325.59x = 1,987.80 × 709.18
  4. Step 4: Simplify right side
    1,325.59x = 1,409,708.00
  5. Step 5: Solve for x
    x = 1,409,708.00/1,325.59
  6. Step 6: Final answer
    x = 1,063.46

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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.