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Finding the Fourth Proportional to 1,117.02, 1,675.74 and 386.70

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Solution

The fourth proportional to 1,117.02, 1,675.74 and 386.70 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,675.74 = 386.70 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,675.74 = 386.70/x
  3. Step 3: Cross multiply
    1,117.02x = 1,675.74 × 386.70
  4. Step 4: Simplify right side
    1,117.02x = 648,008.66
  5. Step 5: Solve for x
    x = 648,008.66/1,117.02
  6. Step 6: Final answer
    x = 580.12

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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.