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Finding the Fourth Proportional to 904.10, 1,307.30 and 904.10

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Solution

The fourth proportional to 904.10, 1,307.30 and 904.10 is: 1,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.10 : 1,307.30 = 904.10 : x
  2. Step 2: Convert to fraction form
    904.10/1,307.30 = 904.10/x
  3. Step 3: Cross multiply
    904.10x = 1,307.30 × 904.10
  4. Step 4: Simplify right side
    904.10x = 1,181,929.93
  5. Step 5: Solve for x
    x = 1,181,929.93/904.10
  6. Step 6: Final answer
    x = 1,307.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.