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Finding the Fourth Proportional to 1,543.70, 2,316.63 and 678.62

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Solution

The fourth proportional to 1,543.70, 2,316.63 and 678.62 is: 1,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.70 : 2,316.63 = 678.62 : x
  2. Step 2: Convert to fraction form
    1,543.70/2,316.63 = 678.62/x
  3. Step 3: Cross multiply
    1,543.70x = 2,316.63 × 678.62
  4. Step 4: Simplify right side
    1,543.70x = 1,572,111.45
  5. Step 5: Solve for x
    x = 1,572,111.45/1,543.70
  6. Step 6: Final answer
    x = 1,018.40

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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.