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Finding the Fourth Proportional to 1,358.40, 2,036.91 and 578.10

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Solution

The fourth proportional to 1,358.40, 2,036.91 and 578.10 is: 866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.40 : 2,036.91 = 578.10 : x
  2. Step 2: Convert to fraction form
    1,358.40/2,036.91 = 578.10/x
  3. Step 3: Cross multiply
    1,358.40x = 2,036.91 × 578.10
  4. Step 4: Simplify right side
    1,358.40x = 1,177,537.67
  5. Step 5: Solve for x
    x = 1,177,537.67/1,358.40
  6. Step 6: Final answer
    x = 866.86

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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.