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Finding the Fourth Proportional to 1,053.47, 1,580.14 and 322.98

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Solution

The fourth proportional to 1,053.47, 1,580.14 and 322.98 is: 484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.47 : 1,580.14 = 322.98 : x
  2. Step 2: Convert to fraction form
    1,053.47/1,580.14 = 322.98/x
  3. Step 3: Cross multiply
    1,053.47x = 1,580.14 × 322.98
  4. Step 4: Simplify right side
    1,053.47x = 510,353.62
  5. Step 5: Solve for x
    x = 510,353.62/1,053.47
  6. Step 6: Final answer
    x = 484.45

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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.