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Finding the Fourth Proportional to 1,565.50, 2,345.81 and 591.07

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Solution

The fourth proportional to 1,565.50, 2,345.81 and 591.07 is: 885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.50 : 2,345.81 = 591.07 : x
  2. Step 2: Convert to fraction form
    1,565.50/2,345.81 = 591.07/x
  3. Step 3: Cross multiply
    1,565.50x = 2,345.81 × 591.07
  4. Step 4: Simplify right side
    1,565.50x = 1,386,537.92
  5. Step 5: Solve for x
    x = 1,386,537.92/1,565.50
  6. Step 6: Final answer
    x = 885.68

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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.