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Finding the Fourth Proportional to 1,154.06, 1,592.62 and 630.10

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Solution

The fourth proportional to 1,154.06, 1,592.62 and 630.10 is: 869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 1,592.62 = 630.10 : x
  2. Step 2: Convert to fraction form
    1,154.06/1,592.62 = 630.10/x
  3. Step 3: Cross multiply
    1,154.06x = 1,592.62 × 630.10
  4. Step 4: Simplify right side
    1,154.06x = 1,003,509.86
  5. Step 5: Solve for x
    x = 1,003,509.86/1,154.06
  6. Step 6: Final answer
    x = 869.55

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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.