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Finding the Fourth Proportional to 1,527.92, 2,291.53 and 705.40

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Solution

The fourth proportional to 1,527.92, 2,291.53 and 705.40 is: 1,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.92 : 2,291.53 = 705.40 : x
  2. Step 2: Convert to fraction form
    1,527.92/2,291.53 = 705.40/x
  3. Step 3: Cross multiply
    1,527.92x = 2,291.53 × 705.40
  4. Step 4: Simplify right side
    1,527.92x = 1,616,433.80
  5. Step 5: Solve for x
    x = 1,616,433.80/1,527.92
  6. Step 6: Final answer
    x = 1,057.93

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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.