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Finding the Fourth Proportional to 1,547.36, 2,320.88 and 573.12

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Solution

The fourth proportional to 1,547.36, 2,320.88 and 573.12 is: 859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.36 : 2,320.88 = 573.12 : x
  2. Step 2: Convert to fraction form
    1,547.36/2,320.88 = 573.12/x
  3. Step 3: Cross multiply
    1,547.36x = 2,320.88 × 573.12
  4. Step 4: Simplify right side
    1,547.36x = 1,330,142.75
  5. Step 5: Solve for x
    x = 1,330,142.75/1,547.36
  6. Step 6: Final answer
    x = 859.62

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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.