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Finding the Fourth Proportional to 1,113.35, 1,670.04 and 291.65

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Solution

The fourth proportional to 1,113.35, 1,670.04 and 291.65 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.35 : 1,670.04 = 291.65 : x
  2. Step 2: Convert to fraction form
    1,113.35/1,670.04 = 291.65/x
  3. Step 3: Cross multiply
    1,113.35x = 1,670.04 × 291.65
  4. Step 4: Simplify right side
    1,113.35x = 487,058.82
  5. Step 5: Solve for x
    x = 487,058.82/1,113.35
  6. Step 6: Final answer
    x = 437.47

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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.