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Finding the Fourth Proportional to 1,510.65, 2,266.22 and 470.40

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Solution

The fourth proportional to 1,510.65, 2,266.22 and 470.40 is: 705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.65 : 2,266.22 = 470.40 : x
  2. Step 2: Convert to fraction form
    1,510.65/2,266.22 = 470.40/x
  3. Step 3: Cross multiply
    1,510.65x = 2,266.22 × 470.40
  4. Step 4: Simplify right side
    1,510.65x = 1,066,035.55
  5. Step 5: Solve for x
    x = 1,066,035.55/1,510.65
  6. Step 6: Final answer
    x = 705.68

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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.