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Finding the Fourth Proportional to 1,030.96, 1,421.58 and 752.12

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Solution

The fourth proportional to 1,030.96, 1,421.58 and 752.12 is: 1,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.96 : 1,421.58 = 752.12 : x
  2. Step 2: Convert to fraction form
    1,030.96/1,421.58 = 752.12/x
  3. Step 3: Cross multiply
    1,030.96x = 1,421.58 × 752.12
  4. Step 4: Simplify right side
    1,030.96x = 1,069,198.75
  5. Step 5: Solve for x
    x = 1,069,198.75/1,030.96
  6. Step 6: Final answer
    x = 1,037.09

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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.