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Finding the Fourth Proportional to 1,386.24, 2,079.52 and 564.40

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Solution

The fourth proportional to 1,386.24, 2,079.52 and 564.40 is: 846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.24 : 2,079.52 = 564.40 : x
  2. Step 2: Convert to fraction form
    1,386.24/2,079.52 = 564.40/x
  3. Step 3: Cross multiply
    1,386.24x = 2,079.52 × 564.40
  4. Step 4: Simplify right side
    1,386.24x = 1,173,681.09
  5. Step 5: Solve for x
    x = 1,173,681.09/1,386.24
  6. Step 6: Final answer
    x = 846.67

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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.