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Finding the Fourth Proportional to 1,525.53, 2,284.63 and 830.47

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Solution

The fourth proportional to 1,525.53, 2,284.63 and 830.47 is: 1,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.53 : 2,284.63 = 830.47 : x
  2. Step 2: Convert to fraction form
    1,525.53/2,284.63 = 830.47/x
  3. Step 3: Cross multiply
    1,525.53x = 2,284.63 × 830.47
  4. Step 4: Simplify right side
    1,525.53x = 1,897,301.10
  5. Step 5: Solve for x
    x = 1,897,301.10/1,525.53
  6. Step 6: Final answer
    x = 1,243.70

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1.5x scale

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.