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Finding the Fourth Proportional to 1,585.51, 2,376.71 and 598.05

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Solution

The fourth proportional to 1,585.51, 2,376.71 and 598.05 is: 896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.51 : 2,376.71 = 598.05 : x
  2. Step 2: Convert to fraction form
    1,585.51/2,376.71 = 598.05/x
  3. Step 3: Cross multiply
    1,585.51x = 2,376.71 × 598.05
  4. Step 4: Simplify right side
    1,585.51x = 1,421,390.67
  5. Step 5: Solve for x
    x = 1,421,390.67/1,585.51
  6. Step 6: Final answer
    x = 896.49

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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.