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Finding the Fourth Proportional to 1,130.09, 1,558.71 and 752.15

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Solution

The fourth proportional to 1,130.09, 1,558.71 and 752.15 is: 1,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.09 : 1,558.71 = 752.15 : x
  2. Step 2: Convert to fraction form
    1,130.09/1,558.71 = 752.15/x
  3. Step 3: Cross multiply
    1,130.09x = 1,558.71 × 752.15
  4. Step 4: Simplify right side
    1,130.09x = 1,172,375.93
  5. Step 5: Solve for x
    x = 1,172,375.93/1,130.09
  6. Step 6: Final answer
    x = 1,037.42

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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.