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Finding the Fourth Proportional to 1,053.16, 1,580.10 and 404.08

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Solution

The fourth proportional to 1,053.16, 1,580.10 and 404.08 is: 606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.16 : 1,580.10 = 404.08 : x
  2. Step 2: Convert to fraction form
    1,053.16/1,580.10 = 404.08/x
  3. Step 3: Cross multiply
    1,053.16x = 1,580.10 × 404.08
  4. Step 4: Simplify right side
    1,053.16x = 638,486.81
  5. Step 5: Solve for x
    x = 638,486.81/1,053.16
  6. Step 6: Final answer
    x = 606.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.