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Finding the Fourth Proportional to 1,547.98, 2,322.07 and 452.25

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Solution

The fourth proportional to 1,547.98, 2,322.07 and 452.25 is: 678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.98 : 2,322.07 = 452.25 : x
  2. Step 2: Convert to fraction form
    1,547.98/2,322.07 = 452.25/x
  3. Step 3: Cross multiply
    1,547.98x = 2,322.07 × 452.25
  4. Step 4: Simplify right side
    1,547.98x = 1,050,155.03
  5. Step 5: Solve for x
    x = 1,050,155.03/1,547.98
  6. Step 6: Final answer
    x = 678.40

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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.