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Finding the Fourth Proportional to 1,655.29, 2,284.31 and 909.24

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Solution

The fourth proportional to 1,655.29, 2,284.31 and 909.24 is: 1,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.29 : 2,284.31 = 909.24 : x
  2. Step 2: Convert to fraction form
    1,655.29/2,284.31 = 909.24/x
  3. Step 3: Cross multiply
    1,655.29x = 2,284.31 × 909.24
  4. Step 4: Simplify right side
    1,655.29x = 2,076,986.02
  5. Step 5: Solve for x
    x = 2,076,986.02/1,655.29
  6. Step 6: Final answer
    x = 1,254.76

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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.