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Finding the Fourth Proportional to 1,509.86, 2,265.35 and 585.47

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Solution

The fourth proportional to 1,509.86, 2,265.35 and 585.47 is: 878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.86 : 2,265.35 = 585.47 : x
  2. Step 2: Convert to fraction form
    1,509.86/2,265.35 = 585.47/x
  3. Step 3: Cross multiply
    1,509.86x = 2,265.35 × 585.47
  4. Step 4: Simplify right side
    1,509.86x = 1,326,284.60
  5. Step 5: Solve for x
    x = 1,326,284.60/1,509.86
  6. Step 6: Final answer
    x = 878.42

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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.