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Finding the Fourth Proportional to 1,054.02, 1,582.11 and 637.95

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Solution

The fourth proportional to 1,054.02, 1,582.11 and 637.95 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.02 : 1,582.11 = 637.95 : x
  2. Step 2: Convert to fraction form
    1,054.02/1,582.11 = 637.95/x
  3. Step 3: Cross multiply
    1,054.02x = 1,582.11 × 637.95
  4. Step 4: Simplify right side
    1,054.02x = 1,009,307.07
  5. Step 5: Solve for x
    x = 1,009,307.07/1,054.02
  6. Step 6: Final answer
    x = 957.58

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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.