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Finding the Fourth Proportional to 1,003.10, 1,506.95 and 711.32

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Solution

The fourth proportional to 1,003.10, 1,506.95 and 711.32 is: 1,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.10 : 1,506.95 = 711.32 : x
  2. Step 2: Convert to fraction form
    1,003.10/1,506.95 = 711.32/x
  3. Step 3: Cross multiply
    1,003.10x = 1,506.95 × 711.32
  4. Step 4: Simplify right side
    1,003.10x = 1,071,925.61
  5. Step 5: Solve for x
    x = 1,071,925.61/1,003.10
  6. Step 6: Final answer
    x = 1,068.62

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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.