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Finding the Fourth Proportional to 1,017.25, 1,525.93 and 286.77

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Solution

The fourth proportional to 1,017.25, 1,525.93 and 286.77 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.25 : 1,525.93 = 286.77 : x
  2. Step 2: Convert to fraction form
    1,017.25/1,525.93 = 286.77/x
  3. Step 3: Cross multiply
    1,017.25x = 1,525.93 × 286.77
  4. Step 4: Simplify right side
    1,017.25x = 437,590.95
  5. Step 5: Solve for x
    x = 437,590.95/1,017.25
  6. Step 6: Final answer
    x = 430.17

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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.