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Finding the Fourth Proportional to 1,525.59, 2,288.40 and 648.12

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Solution

The fourth proportional to 1,525.59, 2,288.40 and 648.12 is: 972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.59 : 2,288.40 = 648.12 : x
  2. Step 2: Convert to fraction form
    1,525.59/2,288.40 = 648.12/x
  3. Step 3: Cross multiply
    1,525.59x = 2,288.40 × 648.12
  4. Step 4: Simplify right side
    1,525.59x = 1,483,157.81
  5. Step 5: Solve for x
    x = 1,483,157.81/1,525.59
  6. Step 6: Final answer
    x = 972.19

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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.