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Finding the Fourth Proportional to 1,035.42, 1,552.98 and 305.08

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Solution

The fourth proportional to 1,035.42, 1,552.98 and 305.08 is: 457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.42 : 1,552.98 = 305.08 : x
  2. Step 2: Convert to fraction form
    1,035.42/1,552.98 = 305.08/x
  3. Step 3: Cross multiply
    1,035.42x = 1,552.98 × 305.08
  4. Step 4: Simplify right side
    1,035.42x = 473,783.14
  5. Step 5: Solve for x
    x = 473,783.14/1,035.42
  6. Step 6: Final answer
    x = 457.58

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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.