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Finding the Fourth Proportional to 1,707.52, 2,561.55 and 553

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Solution

The fourth proportional to 1,707.52, 2,561.55 and 553 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.52 : 2,561.55 = 553 : x
  2. Step 2: Convert to fraction form
    1,707.52/2,561.55 = 553/x
  3. Step 3: Cross multiply
    1,707.52x = 2,561.55 × 553
  4. Step 4: Simplify right side
    1,707.52x = 1,416,537.15
  5. Step 5: Solve for x
    x = 1,416,537.15/1,707.52
  6. Step 6: Final answer
    x = 829.59

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Double scale
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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.