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Finding the Fourth Proportional to 1,547.19, 2,320.83 and 451.44

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Solution

The fourth proportional to 1,547.19, 2,320.83 and 451.44 is: 677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.19 : 2,320.83 = 451.44 : x
  2. Step 2: Convert to fraction form
    1,547.19/2,320.83 = 451.44/x
  3. Step 3: Cross multiply
    1,547.19x = 2,320.83 × 451.44
  4. Step 4: Simplify right side
    1,547.19x = 1,047,715.50
  5. Step 5: Solve for x
    x = 1,047,715.50/1,547.19
  6. Step 6: Final answer
    x = 677.17

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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.