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Finding the Fourth Proportional to 1,070.48, 1,605.64 and 340.58

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Solution

The fourth proportional to 1,070.48, 1,605.64 and 340.58 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.48 : 1,605.64 = 340.58 : x
  2. Step 2: Convert to fraction form
    1,070.48/1,605.64 = 340.58/x
  3. Step 3: Cross multiply
    1,070.48x = 1,605.64 × 340.58
  4. Step 4: Simplify right side
    1,070.48x = 546,848.87
  5. Step 5: Solve for x
    x = 546,848.87/1,070.48
  6. Step 6: Final answer
    x = 510.84

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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.