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Finding the Fourth Proportional to 1,071.06, 1,602.54 and 653.10

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Solution

The fourth proportional to 1,071.06, 1,602.54 and 653.10 is: 977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.06 : 1,602.54 = 653.10 : x
  2. Step 2: Convert to fraction form
    1,071.06/1,602.54 = 653.10/x
  3. Step 3: Cross multiply
    1,071.06x = 1,602.54 × 653.10
  4. Step 4: Simplify right side
    1,071.06x = 1,046,618.87
  5. Step 5: Solve for x
    x = 1,046,618.87/1,071.06
  6. Step 6: Final answer
    x = 977.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.