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Finding the Fourth Proportional to 1,070.51, 1,606.01 and 340.13

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Solution

The fourth proportional to 1,070.51, 1,606.01 and 340.13 is: 510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.51 : 1,606.01 = 340.13 : x
  2. Step 2: Convert to fraction form
    1,070.51/1,606.01 = 340.13/x
  3. Step 3: Cross multiply
    1,070.51x = 1,606.01 × 340.13
  4. Step 4: Simplify right side
    1,070.51x = 546,252.18
  5. Step 5: Solve for x
    x = 546,252.18/1,070.51
  6. Step 6: Final answer
    x = 510.27

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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.