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Finding the Fourth Proportional to 1,009.95, 1,393.11 and 655.53

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Solution

The fourth proportional to 1,009.95, 1,393.11 and 655.53 is: 904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.95 : 1,393.11 = 655.53 : x
  2. Step 2: Convert to fraction form
    1,009.95/1,393.11 = 655.53/x
  3. Step 3: Cross multiply
    1,009.95x = 1,393.11 × 655.53
  4. Step 4: Simplify right side
    1,009.95x = 913,225.40
  5. Step 5: Solve for x
    x = 913,225.40/1,009.95
  6. Step 6: Final answer
    x = 904.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.