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Finding the Fourth Proportional to 1,437.17, 2,156.16 and 463.35

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Solution

The fourth proportional to 1,437.17, 2,156.16 and 463.35 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.17 : 2,156.16 = 463.35 : x
  2. Step 2: Convert to fraction form
    1,437.17/2,156.16 = 463.35/x
  3. Step 3: Cross multiply
    1,437.17x = 2,156.16 × 463.35
  4. Step 4: Simplify right side
    1,437.17x = 999,056.74
  5. Step 5: Solve for x
    x = 999,056.74/1,437.17
  6. Step 6: Final answer
    x = 695.16

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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.