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Finding the Fourth Proportional to 1,053.42, 1,580.13 and 404.07

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Solution

The fourth proportional to 1,053.42, 1,580.13 and 404.07 is: 606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,580.13 = 404.07 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,580.13 = 404.07/x
  3. Step 3: Cross multiply
    1,053.42x = 1,580.13 × 404.07
  4. Step 4: Simplify right side
    1,053.42x = 638,483.13
  5. Step 5: Solve for x
    x = 638,483.13/1,053.42
  6. Step 6: Final answer
    x = 606.11

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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.