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Finding the Fourth Proportional to 1,358.00, 2,030.77 and 1,011.57

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Solution

The fourth proportional to 1,358.00, 2,030.77 and 1,011.57 is: 1,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.00 : 2,030.77 = 1,011.57 : x
  2. Step 2: Convert to fraction form
    1,358.00/2,030.77 = 1,011.57/x
  3. Step 3: Cross multiply
    1,358.00x = 2,030.77 × 1,011.57
  4. Step 4: Simplify right side
    1,358.00x = 2,054,271.08
  5. Step 5: Solve for x
    x = 2,054,271.08/1,358.00
  6. Step 6: Final answer
    x = 1,512.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.