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Finding the Fourth Proportional to 1,709.93, 2,565.25 and 599.47

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Solution

The fourth proportional to 1,709.93, 2,565.25 and 599.47 is: 899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.93 : 2,565.25 = 599.47 : x
  2. Step 2: Convert to fraction form
    1,709.93/2,565.25 = 599.47/x
  3. Step 3: Cross multiply
    1,709.93x = 2,565.25 × 599.47
  4. Step 4: Simplify right side
    1,709.93x = 1,537,782.51
  5. Step 5: Solve for x
    x = 1,537,782.51/1,709.93
  6. Step 6: Final answer
    x = 899.32

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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.