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Finding the Fourth Proportional to 1,547.90, 2,321.60 and 560.54

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Solution

The fourth proportional to 1,547.90, 2,321.60 and 560.54 is: 840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.90 : 2,321.60 = 560.54 : x
  2. Step 2: Convert to fraction form
    1,547.90/2,321.60 = 560.54/x
  3. Step 3: Cross multiply
    1,547.90x = 2,321.60 × 560.54
  4. Step 4: Simplify right side
    1,547.90x = 1,301,335.25
  5. Step 5: Solve for x
    x = 1,301,335.25/1,547.90
  6. Step 6: Final answer
    x = 840.71

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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.