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Finding the Fourth Proportional to 1,005.65, 1,510.21 and 597.35

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Solution

The fourth proportional to 1,005.65, 1,510.21 and 597.35 is: 897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.65 : 1,510.21 = 597.35 : x
  2. Step 2: Convert to fraction form
    1,005.65/1,510.21 = 597.35/x
  3. Step 3: Cross multiply
    1,005.65x = 1,510.21 × 597.35
  4. Step 4: Simplify right side
    1,005.65x = 902,128.47
  5. Step 5: Solve for x
    x = 902,128.47/1,005.65
  6. Step 6: Final answer
    x = 897.06

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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.