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Finding the Fourth Proportional to 1,017.03, 1,524.63 and 468.93

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Solution

The fourth proportional to 1,017.03, 1,524.63 and 468.93 is: 702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.03 : 1,524.63 = 468.93 : x
  2. Step 2: Convert to fraction form
    1,017.03/1,524.63 = 468.93/x
  3. Step 3: Cross multiply
    1,017.03x = 1,524.63 × 468.93
  4. Step 4: Simplify right side
    1,017.03x = 714,944.75
  5. Step 5: Solve for x
    x = 714,944.75/1,017.03
  6. Step 6: Final answer
    x = 702.97

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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.