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Finding the Fourth Proportional to 1,010.07, 1,515.75 and 432.93

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Solution

The fourth proportional to 1,010.07, 1,515.75 and 432.93 is: 649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.07 : 1,515.75 = 432.93 : x
  2. Step 2: Convert to fraction form
    1,010.07/1,515.75 = 432.93/x
  3. Step 3: Cross multiply
    1,010.07x = 1,515.75 × 432.93
  4. Step 4: Simplify right side
    1,010.07x = 656,213.65
  5. Step 5: Solve for x
    x = 656,213.65/1,010.07
  6. Step 6: Final answer
    x = 649.67

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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.