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Finding the Fourth Proportional to 1,341.47, 2,011.70 and 463.80

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Solution

The fourth proportional to 1,341.47, 2,011.70 and 463.80 is: 695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.47 : 2,011.70 = 463.80 : x
  2. Step 2: Convert to fraction form
    1,341.47/2,011.70 = 463.80/x
  3. Step 3: Cross multiply
    1,341.47x = 2,011.70 × 463.80
  4. Step 4: Simplify right side
    1,341.47x = 933,026.46
  5. Step 5: Solve for x
    x = 933,026.46/1,341.47
  6. Step 6: Final answer
    x = 695.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.