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Finding the Fourth Proportional to 1,088.51, 1,632.47 and 472.07

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Solution

The fourth proportional to 1,088.51, 1,632.47 and 472.07 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.51 : 1,632.47 = 472.07 : x
  2. Step 2: Convert to fraction form
    1,088.51/1,632.47 = 472.07/x
  3. Step 3: Cross multiply
    1,088.51x = 1,632.47 × 472.07
  4. Step 4: Simplify right side
    1,088.51x = 770,631.02
  5. Step 5: Solve for x
    x = 770,631.02/1,088.51
  6. Step 6: Final answer
    x = 707.97

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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.