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Finding the Fourth Proportional to 1,106.04, 1,526.46 and 686.52

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Solution

The fourth proportional to 1,106.04, 1,526.46 and 686.52 is: 947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.04 : 1,526.46 = 686.52 : x
  2. Step 2: Convert to fraction form
    1,106.04/1,526.46 = 686.52/x
  3. Step 3: Cross multiply
    1,106.04x = 1,526.46 × 686.52
  4. Step 4: Simplify right side
    1,106.04x = 1,047,945.32
  5. Step 5: Solve for x
    x = 1,047,945.32/1,106.04
  6. Step 6: Final answer
    x = 947.48

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