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Finding the Fourth Proportional to 1,146.42, 1,580.58 and 925.02

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Solution

The fourth proportional to 1,146.42, 1,580.58 and 925.02 is: 1,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.42 : 1,580.58 = 925.02 : x
  2. Step 2: Convert to fraction form
    1,146.42/1,580.58 = 925.02/x
  3. Step 3: Cross multiply
    1,146.42x = 1,580.58 × 925.02
  4. Step 4: Simplify right side
    1,146.42x = 1,462,068.11
  5. Step 5: Solve for x
    x = 1,462,068.11/1,146.42
  6. Step 6: Final answer
    x = 1,275.33

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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.