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Finding the Fourth Proportional to 1,699.47, 2,345.07 and 953.27

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Solution

The fourth proportional to 1,699.47, 2,345.07 and 953.27 is: 1,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.47 : 2,345.07 = 953.27 : x
  2. Step 2: Convert to fraction form
    1,699.47/2,345.07 = 953.27/x
  3. Step 3: Cross multiply
    1,699.47x = 2,345.07 × 953.27
  4. Step 4: Simplify right side
    1,699.47x = 2,235,473.15
  5. Step 5: Solve for x
    x = 2,235,473.15/1,699.47
  6. Step 6: Final answer
    x = 1,315.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.