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Finding the Fourth Proportional to 1,547, 2,320.50 and 451.47

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Solution

The fourth proportional to 1,547, 2,320.50 and 451.47 is: 677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547 : 2,320.50 = 451.47 : x
  2. Step 2: Convert to fraction form
    1,547/2,320.50 = 451.47/x
  3. Step 3: Cross multiply
    1,547x = 2,320.50 × 451.47
  4. Step 4: Simplify right side
    1,547x = 1,047,636.14
  5. Step 5: Solve for x
    x = 1,047,636.14/1,547
  6. Step 6: Final answer
    x = 677.21

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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.