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Finding the Fourth Proportional to 1,164.47, 1,746.54 and 471.51

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Solution

The fourth proportional to 1,164.47, 1,746.54 and 471.51 is: 707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.47 : 1,746.54 = 471.51 : x
  2. Step 2: Convert to fraction form
    1,164.47/1,746.54 = 471.51/x
  3. Step 3: Cross multiply
    1,164.47x = 1,746.54 × 471.51
  4. Step 4: Simplify right side
    1,164.47x = 823,511.08
  5. Step 5: Solve for x
    x = 823,511.08/1,164.47
  6. Step 6: Final answer
    x = 707.20

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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.