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Finding the Fourth Proportional to 1,065.47, 1,598.28 and 285.46

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Solution

The fourth proportional to 1,065.47, 1,598.28 and 285.46 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.47 : 1,598.28 = 285.46 : x
  2. Step 2: Convert to fraction form
    1,065.47/1,598.28 = 285.46/x
  3. Step 3: Cross multiply
    1,065.47x = 1,598.28 × 285.46
  4. Step 4: Simplify right side
    1,065.47x = 456,245.01
  5. Step 5: Solve for x
    x = 456,245.01/1,065.47
  6. Step 6: Final answer
    x = 428.21

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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.