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Finding the Fourth Proportional to 1,358.48, 2,036.09 and 700.67

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Solution

The fourth proportional to 1,358.48, 2,036.09 and 700.67 is: 1,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.48 : 2,036.09 = 700.67 : x
  2. Step 2: Convert to fraction form
    1,358.48/2,036.09 = 700.67/x
  3. Step 3: Cross multiply
    1,358.48x = 2,036.09 × 700.67
  4. Step 4: Simplify right side
    1,358.48x = 1,426,627.18
  5. Step 5: Solve for x
    x = 1,426,627.18/1,358.48
  6. Step 6: Final answer
    x = 1,050.16

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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.