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Finding the Fourth Proportional to 1,017.98, 1,527.23 and 555.64

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Solution

The fourth proportional to 1,017.98, 1,527.23 and 555.64 is: 833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.98 : 1,527.23 = 555.64 : x
  2. Step 2: Convert to fraction form
    1,017.98/1,527.23 = 555.64/x
  3. Step 3: Cross multiply
    1,017.98x = 1,527.23 × 555.64
  4. Step 4: Simplify right side
    1,017.98x = 848,590.08
  5. Step 5: Solve for x
    x = 848,590.08/1,017.98
  6. Step 6: Final answer
    x = 833.60

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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.