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Finding the Fourth Proportional to 1,510.43, 2,265.67 and 470.46

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Solution

The fourth proportional to 1,510.43, 2,265.67 and 470.46 is: 705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.43 : 2,265.67 = 470.46 : x
  2. Step 2: Convert to fraction form
    1,510.43/2,265.67 = 470.46/x
  3. Step 3: Cross multiply
    1,510.43x = 2,265.67 × 470.46
  4. Step 4: Simplify right side
    1,510.43x = 1,065,907.11
  5. Step 5: Solve for x
    x = 1,065,907.11/1,510.43
  6. Step 6: Final answer
    x = 705.70

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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.