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Finding the Fourth Proportional to 1,587.53, 2,381.01 and 612.83

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Solution

The fourth proportional to 1,587.53, 2,381.01 and 612.83 is: 919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.53 : 2,381.01 = 612.83 : x
  2. Step 2: Convert to fraction form
    1,587.53/2,381.01 = 612.83/x
  3. Step 3: Cross multiply
    1,587.53x = 2,381.01 × 612.83
  4. Step 4: Simplify right side
    1,587.53x = 1,459,142.45
  5. Step 5: Solve for x
    x = 1,459,142.45/1,587.53
  6. Step 6: Final answer
    x = 919.13

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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.