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Finding the Fourth Proportional to 700.63, 1,050.15 and 289.66

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Solution

The fourth proportional to 700.63, 1,050.15 and 289.66 is: 434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.63 : 1,050.15 = 289.66 : x
  2. Step 2: Convert to fraction form
    700.63/1,050.15 = 289.66/x
  3. Step 3: Cross multiply
    700.63x = 1,050.15 × 289.66
  4. Step 4: Simplify right side
    700.63x = 304,186.45
  5. Step 5: Solve for x
    x = 304,186.45/700.63
  6. Step 6: Final answer
    x = 434.16

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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.