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Finding the Fourth Proportional to 1,570.07, 2,355.12 and 400.08

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Solution

The fourth proportional to 1,570.07, 2,355.12 and 400.08 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.07 : 2,355.12 = 400.08 : x
  2. Step 2: Convert to fraction form
    1,570.07/2,355.12 = 400.08/x
  3. Step 3: Cross multiply
    1,570.07x = 2,355.12 × 400.08
  4. Step 4: Simplify right side
    1,570.07x = 942,222.63
  5. Step 5: Solve for x
    x = 942,222.63/1,570.07
  6. Step 6: Final answer
    x = 600.12

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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.