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Finding the Fourth Proportional to 1,007.56, 1,510.06 and 545.72

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Solution

The fourth proportional to 1,007.56, 1,510.06 and 545.72 is: 817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.56 : 1,510.06 = 545.72 : x
  2. Step 2: Convert to fraction form
    1,007.56/1,510.06 = 545.72/x
  3. Step 3: Cross multiply
    1,007.56x = 1,510.06 × 545.72
  4. Step 4: Simplify right side
    1,007.56x = 824,074.61
  5. Step 5: Solve for x
    x = 824,074.61/1,007.56
  6. Step 6: Final answer
    x = 817.89

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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.