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Finding the Fourth Proportional to 1,017.60, 1,526.64 and 368.32

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Solution

The fourth proportional to 1,017.60, 1,526.64 and 368.32 is: 552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.60 : 1,526.64 = 368.32 : x
  2. Step 2: Convert to fraction form
    1,017.60/1,526.64 = 368.32/x
  3. Step 3: Cross multiply
    1,017.60x = 1,526.64 × 368.32
  4. Step 4: Simplify right side
    1,017.60x = 562,292.04
  5. Step 5: Solve for x
    x = 562,292.04/1,017.60
  6. Step 6: Final answer
    x = 552.57

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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.