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Finding the Fourth Proportional to 1,554.65, 2,332.38 and 567.55

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Solution

The fourth proportional to 1,554.65, 2,332.38 and 567.55 is: 851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.65 : 2,332.38 = 567.55 : x
  2. Step 2: Convert to fraction form
    1,554.65/2,332.38 = 567.55/x
  3. Step 3: Cross multiply
    1,554.65x = 2,332.38 × 567.55
  4. Step 4: Simplify right side
    1,554.65x = 1,323,742.27
  5. Step 5: Solve for x
    x = 1,323,742.27/1,554.65
  6. Step 6: Final answer
    x = 851.48

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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.