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Finding the Fourth Proportional to 1,018.63, 1,405.06 and 703.35

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Solution

The fourth proportional to 1,018.63, 1,405.06 and 703.35 is: 970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.63 : 1,405.06 = 703.35 : x
  2. Step 2: Convert to fraction form
    1,018.63/1,405.06 = 703.35/x
  3. Step 3: Cross multiply
    1,018.63x = 1,405.06 × 703.35
  4. Step 4: Simplify right side
    1,018.63x = 988,248.95
  5. Step 5: Solve for x
    x = 988,248.95/1,018.63
  6. Step 6: Final answer
    x = 970.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.